diff --git a/Makefile b/Makefile
index b76479fbda..6c525a57b6 100644
--- a/Makefile
+++ b/Makefile
@@ -123,6 +123,8 @@ compile-requirements: pre-requirements $(COMMON_CONSTRAINTS_TXT) ## Re-compile *
 	@# time someone tries to use the outputs.
 	sed 's/Django<5.0//g' requirements/common_constraints.txt > requirements/common_constraints.tmp
 	mv requirements/common_constraints.tmp requirements/common_constraints.txt
+	sed 's/pip<24.3//g' requirements/common_constraints.txt > requirements/common_constraints.tmp
+	mv requirements/common_constraints.tmp requirements/common_constraints.txt
 	pip-compile -v --allow-unsafe ${COMPILE_OPTS} -o requirements/pip.txt requirements/pip.in
 	pip install -r requirements/pip.txt
 
diff --git a/requirements/constraints.txt b/requirements/constraints.txt
index 772321fe52..6271881301 100644
--- a/requirements/constraints.txt
+++ b/requirements/constraints.txt
@@ -79,11 +79,6 @@ openai<=0.28.1
 # Issue for unpinning: https://github.com/openedx/edx-platform/issues/35267
 path<16.12.0
 
-# Date: 2025-05-11
-# Broke lxml[html_clean] extra dependency declaration
-# Issue for unpinning: https://github.com/openedx/edx-platform/issues/37168
-pip-tools<7.5.0
-
 # Date: 2022-08-03
 # pycodestyle==2.9.0 generates false positive error E275.
 # Constraint can be removed once the issue https://github.com/PyCQA/pycodestyle/issues/1090 is fixed.