diff --git a/eng/ci/official-build.yml b/eng/ci/official-build.yml
index 9f39bb7a1..23eab48ef 100644
--- a/eng/ci/official-build.yml
+++ b/eng/ci/official-build.yml
@@ -13,7 +13,7 @@ schedules:
 # Build nightly to catch any new CVEs and report SDL often.
 # We are also required to generated CodeQL reports weekly, so this
 # helps us meet that.
-- cron: "0 0 * * *"
+- cron: "0 5 * * *"
   displayName: Nightly Build
   branches:
     include:
@@ -38,6 +38,9 @@ extends:
             name: 1es-pool-azfunc
             image: 1es-windows-2022
             os: windows
+            ${{ if eq( variables['Build.Reason'], 'Schedule' ) }}:
+              demands:
+              - Priority -equals Low
 
         stages:
             - stage: BuildAndSign
diff --git a/eng/ci/public-build.yml b/eng/ci/public-build.yml
index e3102a23d..95b1518a3 100644
--- a/eng/ci/public-build.yml
+++ b/eng/ci/public-build.yml
@@ -11,7 +11,7 @@ trigger:
 
 # Run nightly to catch new CVEs and to report SDL often.
 schedules:
-  - cron: "0 0 * * *"
+  - cron: "0 5 * * *"
     displayName: Nightly Run
     branches:
       include:
@@ -41,6 +41,9 @@ extends:
       name: 1es-pool-azfunc-public
       image: 1es-windows-2022
       os: windows
+      ${{ if eq( variables['Build.Reason'], 'Schedule' ) }}:
+        demands:
+        - Priority -equals Low
 
     sdl:
       codeql: