diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index 879c5d8..352cb88 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -15,7 +15,7 @@ jobs:
     strategy:
       fail-fast: false
       matrix:
-        version: ['1.6', '1']  # Test against LTS
+        version: ['1.10', '1']  # Test against LTS
         os: [ubuntu-latest, macOS-latest, windows-latest]
         arch: [x64]
         # TODO(odow): Fix this
diff --git a/Project.toml b/Project.toml
index 9ca2c63..1bdac76 100644
--- a/Project.toml
+++ b/Project.toml
@@ -10,10 +10,10 @@ MathOptInterface = "b8f27783-ece8-5eb3-8dc8-9495eed66fee"
 SDPA_jll = "7fc90fd6-dbef-5a6a-93f8-169f2a2e705b"
 
 [compat]
-CxxWrap = "0.14"
+CxxWrap = "0.16"
 LinearAlgebra = "<0.0.1, 1.6"
 MathOptInterface = "1"
-SDPA_jll = "=700.300.1701"
+SDPA_jll = "=700.300.1800"
 SparseArrays = "<0.0.1, 1.6"
 Test = "<0.0.1, 1.6"
 julia = "1.6"