diff --git a/telegram/_bot.py b/telegram/_bot.py
index 286709de8ed..ba889ee7177 100644
--- a/telegram/_bot.py
+++ b/telegram/_bot.py
@@ -2611,7 +2611,9 @@ async def send_location(
             live_period (:obj:`int`, optional): Period in seconds for which the location will be
                 updated, should be between
                 :tg-const:`telegram.constants.LocationLimit.MIN_LIVE_PERIOD` and
-                :tg-const:`telegram.constants.LocationLimit.MAX_LIVE_PERIOD`.
+                :tg-const:`telegram.constants.LocationLimit.MAX_LIVE_PERIOD`, or
+                :tg-const:`telegram.constants.LocationLimit.LIVE_PERIOD_FOREVER` for live
+                locations that can be edited indefinitely.
             heading (:obj:`int`, optional): For live locations, a direction in which the user is
                 moving, in degrees. Must be between
                 :tg-const:`telegram.constants.LocationLimit.MIN_HEADING` and
@@ -2764,8 +2766,8 @@ async def edit_message_live_location(
                 can be updated, starting from the message send date. If
                 :tg-const:`telegram.constants.LocationLimit.LIVE_PERIOD_FOREVER` is specified,
                 then the location can be updated forever. Otherwise, the new value must not exceed
-                the current live_period by more than a day, and the live location expiration date
-                must remain within the next 90 days. If not specified, then `live_period`
+                the current ``live_period`` by more than a day, and the live location expiration
+                date must remain within the next 90 days. If not specified, then ``live_period``
                 remains unchanged
 
                 .. versionadded:: NEXT.VERSION.
diff --git a/telegram/_inline/inlinequeryresultlocation.py b/telegram/_inline/inlinequeryresultlocation.py
index 0c370ee8a74..dff2b29a48b 100644
--- a/telegram/_inline/inlinequeryresultlocation.py
+++ b/telegram/_inline/inlinequeryresultlocation.py
@@ -89,7 +89,9 @@ class InlineQueryResultLocation(InlineQueryResult):
         live_period (:obj:`int`): Optional. Period in seconds for which the location will be
             updated, should be between
             :tg-const:`telegram.InlineQueryResultLocation.MIN_LIVE_PERIOD` and
-            :tg-const:`telegram.InlineQueryResultLocation.MAX_LIVE_PERIOD`.
+            :tg-const:`telegram.InlineQueryResultLocation.MAX_LIVE_PERIOD` or
+            :tg-const:`telegram.constants.LocationLimit.LIVE_PERIOD_FOREVER` for live
+            locations that can be edited indefinitely.
         heading (:obj:`int`): Optional. For live locations, a direction in which the user is
             moving, in degrees. Must be between
             :tg-const:`telegram.InlineQueryResultLocation.MIN_HEADING` and
diff --git a/telegram/_inline/inputlocationmessagecontent.py b/telegram/_inline/inputlocationmessagecontent.py
index 22cb2d9ef62..d9642c485c5 100644
--- a/telegram/_inline/inputlocationmessagecontent.py
+++ b/telegram/_inline/inputlocationmessagecontent.py
@@ -42,7 +42,9 @@ class InputLocationMessageContent(InputMessageContent):
         live_period (:obj:`int`, optional): Period in seconds for which the location will be
             updated, should be between
             :tg-const:`telegram.InputLocationMessageContent.MIN_LIVE_PERIOD` and
-            :tg-const:`telegram.InputLocationMessageContent.MAX_LIVE_PERIOD`.
+            :tg-const:`telegram.InputLocationMessageContent.MAX_LIVE_PERIOD` or
+            :tg-const:`telegram.constants.LocationLimit.LIVE_PERIOD_FOREVER` for live
+            locations that can be edited indefinitely.
         heading (:obj:`int`, optional): For live locations, a direction in which the user is
             moving, in degrees. Must be between
             :tg-const:`telegram.InputLocationMessageContent.MIN_HEADING` and