diff --git a/contracts/CHANGELOG.md b/contracts/CHANGELOG.md
index bea677f34..751bd5473 100644
--- a/contracts/CHANGELOG.md
+++ b/contracts/CHANGELOG.md
@@ -23,6 +23,10 @@ The format is based on [Common Changelog](https://common-changelog.org/).
 - Bump `hardhat` to v2.26.2 ([#2069](https://github.com/kleros/kleros-v2/issues/2069))
 - Bump `@kleros/vea-contracts` to v0.7.0 ([#2073](https://github.com/kleros/kleros-v2/issues/2073))
 
+### Added
+
+- Allow the dispute kits to force an early court jump and to override the number of votes after an appeal (future-proofing) ([#2110](https://github.com/kleros/kleros-v2/issues/2110))
+
 ### Fixed
 
 - Do not pass to Voting period if all the commits are cast because it breaks the current Shutter auto-reveal process. ([#2085](https://github.com/kleros/kleros-v2/issues/2085))
diff --git a/contracts/hardhat.config.ts b/contracts/hardhat.config.ts
index dc1cce1c6..3bb2787ca 100644
--- a/contracts/hardhat.config.ts
+++ b/contracts/hardhat.config.ts
@@ -31,7 +31,7 @@ const config: HardhatUserConfig = {
           viaIR: process.env.VIA_IR !== "false", // Defaults to true
           optimizer: {
             enabled: true,
-            runs: 10000,
+            runs: 2000,
           },
           outputSelection: {
             "*": {
diff --git a/contracts/src/arbitration/KlerosCoreBase.sol b/contracts/src/arbitration/KlerosCoreBase.sol
index 5816f872a..eb595096e 100644
--- a/contracts/src/arbitration/KlerosCoreBase.sol
+++ b/contracts/src/arbitration/KlerosCoreBase.sol
@@ -639,24 +639,17 @@ abstract contract KlerosCoreBase is IArbitratorV2, Initializable, UUPSProxiable
         Round storage round = dispute.rounds[dispute.rounds.length - 1];
         if (msg.sender != address(disputeKits[round.disputeKitID])) revert DisputeKitOnly();
 
-        uint96 newCourtID = dispute.courtID;
-        uint256 newDisputeKitID = round.disputeKitID;
-
         // Warning: the extra round must be created before calling disputeKit.createDispute()
         Round storage extraRound = dispute.rounds.push();
 
-        if (round.nbVotes >= courts[newCourtID].jurorsForCourtJump) {
-            // Jump to parent court.
-            newCourtID = courts[newCourtID].parent;
-
-            if (!courts[newCourtID].supportedDisputeKits[newDisputeKitID]) {
-                // Switch to classic dispute kit if parent court doesn't support the current one.
-                newDisputeKitID = DISPUTE_KIT_CLASSIC;
-            }
-
-            if (newCourtID != dispute.courtID) {
-                emit CourtJump(_disputeID, dispute.rounds.length - 1, dispute.courtID, newCourtID);
-            }
+        (uint96 newCourtID, uint256 newDisputeKitID, bool courtJump, ) = _getCourtAndDisputeKitJumps(
+            dispute,
+            round,
+            courts[dispute.courtID],
+            _disputeID
+        );
+        if (courtJump) {
+            emit CourtJump(_disputeID, dispute.rounds.length - 1, dispute.courtID, newCourtID);
         }
 
         dispute.courtID = newCourtID;
@@ -934,17 +927,25 @@ abstract contract KlerosCoreBase is IArbitratorV2, Initializable, UUPSProxiable
         Dispute storage dispute = disputes[_disputeID];
         Round storage round = dispute.rounds[dispute.rounds.length - 1];
         Court storage court = courts[dispute.courtID];
-        if (round.nbVotes >= court.jurorsForCourtJump) {
+
+        (, uint256 newDisputeKitID, bool courtJump, ) = _getCourtAndDisputeKitJumps(dispute, round, court, _disputeID);
+
+        uint256 nbVotesAfterAppeal = disputeKits[newDisputeKitID].getNbVotesAfterAppeal(
+            disputeKits[round.disputeKitID],
+            round.nbVotes
+        );
+
+        if (courtJump) {
             // Jump to parent court.
             if (dispute.courtID == GENERAL_COURT) {
                 // TODO: Handle the forking when appealed in General court.
                 cost = NON_PAYABLE_AMOUNT; // Get the cost of the parent court.
             } else {
-                cost = courts[court.parent].feeForJuror * ((round.nbVotes * 2) + 1);
+                cost = courts[court.parent].feeForJuror * nbVotesAfterAppeal;
             }
         } else {
             // Stay in current court.
-            cost = court.feeForJuror * ((round.nbVotes * 2) + 1);
+            cost = court.feeForJuror * nbVotesAfterAppeal;
         }
     }
 
@@ -1033,7 +1034,7 @@ abstract contract KlerosCoreBase is IArbitratorV2, Initializable, UUPSProxiable
         Round storage round = dispute.rounds[dispute.rounds.length - 1];
         Court storage court = courts[dispute.courtID];
 
-        if (round.nbVotes < court.jurorsForCourtJump) {
+        if (!_isCourtJumping(round, court, _disputeID)) {
             return false;
         }
 
@@ -1053,6 +1054,41 @@ abstract contract KlerosCoreBase is IArbitratorV2, Initializable, UUPSProxiable
     // *            Internal               * //
     // ************************************* //
 
+    /// @dev Returns true if the round is jumping to a parent court.
+    /// @param _round The round to check.
+    /// @param _court The court to check.
+    /// @return Whether the round is jumping to a parent court or not.
+    function _isCourtJumping(
+        Round storage _round,
+        Court storage _court,
+        uint256 _disputeID
+    ) internal view returns (bool) {
+        return
+            disputeKits[_round.disputeKitID].earlyCourtJump(_disputeID) || _round.nbVotes >= _court.jurorsForCourtJump;
+    }
+
+    function _getCourtAndDisputeKitJumps(
+        Dispute storage _dispute,
+        Round storage _round,
+        Court storage _court,
+        uint256 _disputeID
+    ) internal view returns (uint96 newCourtID, uint256 newDisputeKitID, bool courtJump, bool disputeKitJump) {
+        newCourtID = _dispute.courtID;
+        newDisputeKitID = _round.disputeKitID;
+
+        if (!_isCourtJumping(_round, _court, _disputeID)) return (newCourtID, newDisputeKitID, false, false);
+
+        // Jump to parent court.
+        newCourtID = courts[newCourtID].parent;
+        courtJump = true;
+
+        if (!courts[newCourtID].supportedDisputeKits[newDisputeKitID]) {
+            // Switch to classic dispute kit if parent court doesn't support the current one.
+            newDisputeKitID = DISPUTE_KIT_CLASSIC;
+            disputeKitJump = true;
+        }
+    }
+
     /// @dev Internal function to transfer fee tokens (ETH or ERC20)
     /// @param _feeToken The token to transfer (NATIVE_CURRENCY for ETH).
     /// @param _recipient The recipient address.
diff --git a/contracts/src/arbitration/dispute-kits/DisputeKitClassicBase.sol b/contracts/src/arbitration/dispute-kits/DisputeKitClassicBase.sol
index 0922f047b..a9e96f7eb 100644
--- a/contracts/src/arbitration/dispute-kits/DisputeKitClassicBase.sol
+++ b/contracts/src/arbitration/dispute-kits/DisputeKitClassicBase.sol
@@ -627,6 +627,22 @@ abstract contract DisputeKitClassicBase is IDisputeKit, Initializable, UUPSProxi
             ((appealPeriodEnd - appealPeriodStart) * LOSER_APPEAL_PERIOD_MULTIPLIER) / ONE_BASIS_POINT);
     }
 
+    /// @dev Returns true if the dispute is jumping to a parent court.
+    /// @return Whether the dispute is jumping to a parent court or not.
+    function earlyCourtJump(uint256 /* _coreDisputeID */) external pure override returns (bool) {
+        return false;
+    }
+
+    /// @dev Returns the number of votes after the appeal.
+    /// @param _currentNbVotes The number of votes before the appeal.
+    /// @return The number of votes after the appeal.
+    function getNbVotesAfterAppeal(
+        IDisputeKit /* _previousDisputeKit */,
+        uint256 _currentNbVotes
+    ) external pure override returns (uint256) {
+        return (_currentNbVotes * 2) + 1;
+    }
+
     /// @dev Returns true if the specified voter was active in this round.
     /// @param _coreDisputeID The ID of the dispute in Kleros Core, not in the Dispute Kit.
     /// @param _coreRoundID The ID of the round in Kleros Core, not in the Dispute Kit.
diff --git a/contracts/src/arbitration/interfaces/IDisputeKit.sol b/contracts/src/arbitration/interfaces/IDisputeKit.sol
index 6a72b35e4..0aab45b9c 100644
--- a/contracts/src/arbitration/interfaces/IDisputeKit.sol
+++ b/contracts/src/arbitration/interfaces/IDisputeKit.sol
@@ -113,6 +113,20 @@ interface IDisputeKit {
     /// @return Whether the appeal funding is finished.
     function isAppealFunded(uint256 _coreDisputeID) external view returns (bool);
 
+    /// @dev Returns true if the dispute is jumping to a parent court.
+    /// @param _coreDisputeID The ID of the dispute in Kleros Core, not in the Dispute Kit.
+    /// @return Whether the dispute is jumping to a parent court or not.
+    function earlyCourtJump(uint256 _coreDisputeID) external view returns (bool);
+
+    /// @dev Returns the number of votes after the appeal.
+    /// @param _previousDisputeKit The previous Dispute Kit.
+    /// @param _currentNbVotes The number of votes before the appeal.
+    /// @return The number of votes after the appeal.
+    function getNbVotesAfterAppeal(
+        IDisputeKit _previousDisputeKit,
+        uint256 _currentNbVotes
+    ) external view returns (uint256); // TODO: remove previousDisputeKit
+
     /// @dev Returns true if the specified voter was active in this round.
     /// @param _coreDisputeID The ID of the dispute in Kleros Core, not in the Dispute Kit.
     /// @param _coreRoundID The ID of the round in Kleros Core, not in the Dispute Kit.