diff --git a/eng/pipelines/templates/stages/archetype-sdk-tests.yml b/eng/pipelines/templates/stages/archetype-sdk-tests.yml
index e6e84f1c8170..3eeebbd99369 100644
--- a/eng/pipelines/templates/stages/archetype-sdk-tests.yml
+++ b/eng/pipelines/templates/stages/archetype-sdk-tests.yml
@@ -107,7 +107,7 @@ extends:
     stages:
     - ${{ each package in coalesce(parameters.Packages, split(parameters.BuildTargetingString, '|')) }}:
       - ${{ each cloud in parameters.CloudConfig }}:
-        - ${{ if or(contains(parameters.Clouds, cloud.key), and(contains(variables['Build.DefinitionName'], 'tests-weekly'), contains(parameters.SupportedClouds, cloud.key))) }}:
+        - ${{ if contains(parameters.Clouds, cloud.key) }}:
           - ${{ if not(contains(parameters.UnsupportedClouds, cloud.key)) }}:
             - stage:
               displayName: ${{ format('{0} {1} {2}', cloud.key, parameters.JobName, package) }}
@@ -168,9 +168,11 @@ extends:
                       ServiceConnection: ${{ coalesce(cloud.value.ServiceConnection, lower(format('azure-sdk-tests-{0}', cloud.key))) }}
                       SubscriptionConfigurationFilePaths: ${{ cloud.value.SubscriptionConfigurationFilePaths }}
 
-      - ${{ if contains(variables['Build.DefinitionName'], 'tests-weekly')  }}:
+      # Analyze-weekly runs only on scheduled runs that start on a weekend (Sat/Sun, UTC).
+      - ${{ if eq(variables['Build.Reason'], 'Schedule') }}:
         - template: /eng/pipelines/templates/stages/python-analyze-weekly.yml
           parameters:
             BuildTargetingString: ${{ package }}
             ServiceDirectory: ${{ parameters.ServiceDirectory }}
             JobName: ${{ parameters.JobName }}
+            Condition: and(succeeded(), in(format('{0:ddd}', pipeline.startTime), 'Sat', 'Sun'))
diff --git a/eng/pipelines/templates/stages/python-analyze-weekly-standalone.yml b/eng/pipelines/templates/stages/python-analyze-weekly-standalone.yml
index 10277b85fb3f..42b6c09b0e31 100644
--- a/eng/pipelines/templates/stages/python-analyze-weekly-standalone.yml
+++ b/eng/pipelines/templates/stages/python-analyze-weekly-standalone.yml
@@ -13,9 +13,10 @@ extends:
   template: /eng/pipelines/templates/stages/1es-redirect.yml
   parameters:
     stages:
-      - ${{ if contains(variables['Build.DefinitionName'], 'tests-weekly')  }}:
-        - template: /eng/pipelines/templates/stages/python-analyze-weekly.yml
-          parameters:
-            ServiceDirectory: ${{ parameters.ServiceDirectory }}
-            BuildTargetingString: ${{ parameters.BuildTargetingString }}
-            JobName: ${{ parameters.JobName }}
\ No newline at end of file
+      # Analyze-weekly runs only on scheduled runs that start on a weekend (Sat/Sun, UTC).
+      - template: /eng/pipelines/templates/stages/python-analyze-weekly.yml
+        parameters:
+          ServiceDirectory: ${{ parameters.ServiceDirectory }}
+          BuildTargetingString: ${{ parameters.BuildTargetingString }}
+          JobName: ${{ parameters.JobName }}
+          Condition: and(succeeded(), eq(variables['Build.Reason'], 'Schedule'), in(format('{0:ddd}', pipeline.startTime), 'Sat', 'Sun'))
\ No newline at end of file
diff --git a/eng/pipelines/templates/stages/python-analyze-weekly.yml b/eng/pipelines/templates/stages/python-analyze-weekly.yml
index 06976f300a98..ed318e3a67db 100644
--- a/eng/pipelines/templates/stages/python-analyze-weekly.yml
+++ b/eng/pipelines/templates/stages/python-analyze-weekly.yml
@@ -11,13 +11,20 @@ parameters:
   - name: JobName
     type: string
     default: 'Test'
+  - name: Condition
+    type: string
+    default: succeeded()
 
 stages:
   - stage:
     displayName: 'Analyze_${{ parameters.JobName }}'
     variables:
       - template: /eng/pipelines/templates/variables/image.yml
+      # Signals the analyze-weekly context to the Python tooling (see ci_tools.variables.in_analyze_weekly).
+      - name: AZURE_SDK_ANALYZE_WEEKLY
+        value: '1'
     dependsOn: []
+    condition: ${{ parameters.Condition }}
     jobs:
       - job: 'Analyze'
         timeoutInMinutes: 90
diff --git a/eng/tools/azure-sdk-tools/ci_tools/variables.py b/eng/tools/azure-sdk-tools/ci_tools/variables.py
index 5732d3deb9f0..421fc14b9c91 100644
--- a/eng/tools/azure-sdk-tools/ci_tools/variables.py
+++ b/eng/tools/azure-sdk-tools/ci_tools/variables.py
@@ -84,8 +84,12 @@ def in_public() -> int:
 
 
 def in_analyze_weekly() -> int:
-    # Returns 4 if the build originates from the tests-weekly analyze job
+    # Returns 4 if the build originates from the analyze-weekly job
     # 0 otherwise
+    # The analyze-weekly stage sets AZURE_SDK_ANALYZE_WEEKLY=1 (see python-analyze-weekly.yml).
+    if os.getenv("AZURE_SDK_ANALYZE_WEEKLY", "") == "1":
+        return 4
+    # Fallback for pipelines still keyed on the 'tests-weekly' definition name (e.g. identity).
     if (
         "tests-weekly" in os.getenv("SYSTEM_DEFINITIONNAME", "")
         and os.getenv("SYSTEM_STAGEDISPLAYNAME", "") == "Analyze_Test"