diff --git a/build-constraints.txt b/build-constraints.txt
index 23e660096d4..956973abf14 100644
--- a/build-constraints.txt
+++ b/build-constraints.txt
@@ -1,5 +1,8 @@
 # build version constraints for use with wheelwright + multibuild
-numpy==1.15.0; python_version<='3.7'
-numpy==1.17.3; python_version=='3.8'
+numpy==1.15.0; python_version<='3.7' and platform_machine!='aarch64'
+numpy==1.19.2; python_version<='3.7' and platform_machine=='aarch64'
+numpy==1.17.3; python_version=='3.8' and platform_machine!='aarch64'
+numpy==1.19.2; python_version=='3.8' and platform_machine=='aarch64'
 numpy==1.19.3; python_version=='3.9'
-numpy; python_version>='3.10'
+numpy==1.21.3; python_version=='3.10'
+numpy; python_version>='3.11'