diff --git a/.appveyor.yml b/.appveyor.yml
index 1dffa74700d..6fcf3f6070b 100644
--- a/.appveyor.yml
+++ b/.appveyor.yml
@@ -4,7 +4,7 @@ image: Visual Studio 2017
 platform: x64
 
 # Don't clone the entire repo.
-clone_depth: 1
+clone_depth: 10
 
 # Cache things between builds to speed things up and save bandwidth.
 cache:
diff --git a/.ci-builds/.azure-exhaustive-tests.yml b/.ci-builds/.azure-exhaustive-tests.yml
index c3c7782ec08..c7309157b30 100644
--- a/.ci-builds/.azure-exhaustive-tests.yml
+++ b/.ci-builds/.azure-exhaustive-tests.yml
@@ -38,7 +38,7 @@ jobs:
   steps:
     - checkout: self
       lfs: true
-      fetchDepth: 1
+      fetchDepth: 10
     - script: |
         echo "Building ICU4J" && cd icu4j && ant init && ant exhaustiveCheck
       displayName: 'Build and Exhaustive Tests'
@@ -60,7 +60,7 @@ jobs:
   steps:
     - checkout: self
       lfs: true
-      fetchDepth: 1
+      fetchDepth: 10
     - script: |
         cd icu4c/source && ./runConfigureICU Linux && make -j2
       displayName: 'Build'
diff --git a/.ci-builds/.azure-pipelines.yml b/.ci-builds/.azure-pipelines.yml
index 9669a65fea2..e1e109ab68e 100644
--- a/.ci-builds/.azure-pipelines.yml
+++ b/.ci-builds/.azure-pipelines.yml
@@ -11,7 +11,7 @@ jobs:
   steps:
     - checkout: self
       lfs: true
-      fetchDepth: 1
+      fetchDepth: 10
     - script: |
         echo "Building ICU4J" && cd icu4j && ant init && ant check 
       displayName: 'Build and Test'
@@ -30,7 +30,7 @@ jobs:
   steps:
     - checkout: self
       lfs: true
-      fetchDepth: 1
+      fetchDepth: 10
     - script: |
         cd icu4c/source && ./runConfigureICU Linux && make -j2 check
       displayName: 'Build and Test'
@@ -52,7 +52,7 @@ jobs:
   steps:
     - checkout: self
       lfs: true
-      fetchDepth: 1
+      fetchDepth: 10
     - script: |
         export CPPFLAGS="-Werror -Wall -Wextra -Wextra-semi -Wundef -Wnon-virtual-dtor" && cd icu4c/source && ./runConfigureICU Linux && make -j2 tests
       displayName: 'Build only (WarningsAsErrors)'
@@ -68,7 +68,7 @@ jobs:
   steps:
     - checkout: self
       lfs: true
-      fetchDepth: 1
+      fetchDepth: 10
     - script: |
         cd icu4c/source && \
         ICU_DATA_FILTER_FILE=../../.ci-builds/data-filter.json ./runConfigureICU Linux && \
@@ -88,7 +88,7 @@ jobs:
   steps:
     - checkout: self
       lfs: true
-      fetchDepth: 1
+      fetchDepth: 10
     - script: |
         export CXXFLAGS="-std=c++14 -Winvalid-constexpr" && cd icu4c/source && ./runConfigureICU --enable-debug --disable-release Linux --disable-layout --disable-layoutex && make -j2 check
       displayName: 'Build and Test C++14'
@@ -110,7 +110,7 @@ jobs:
   steps:
     - checkout: self
       lfs: true
-      fetchDepth: 1
+      fetchDepth: 10
     - task: VSBuild@1
       displayName: 'Build Solution'
       inputs:
@@ -147,7 +147,7 @@ jobs:
   steps:
     - checkout: self
       lfs: true
-      fetchDepth: 1
+      fetchDepth: 10
     - task: VSBuild@1
       displayName: 'Build Solution'
       inputs:
@@ -184,7 +184,7 @@ jobs:
   steps:
     - checkout: self
       lfs: true
-      fetchDepth: 1
+      fetchDepth: 10
     - task: VSBuild@1
       displayName: 'Build Solution'
       inputs:
@@ -228,7 +228,7 @@ jobs:
   steps:
     - checkout: self
       lfs: true
-      fetchDepth: 1
+      fetchDepth: 10
     - task: VSBuild@1
       displayName: 'Build Solution'
       inputs:
@@ -255,7 +255,7 @@ jobs:
   steps:
     - checkout: self
       lfs: true
-      fetchDepth: 1
+      fetchDepth: 10
     - task: VSBuild@1
       displayName: 'Build Solution'
       inputs:
@@ -280,7 +280,7 @@ jobs:
   steps:
     - checkout: self
       lfs: true
-      fetchDepth: 1
+      fetchDepth: 10
     - task: VSBuild@1
       displayName: 'Build Solution'
       inputs:
@@ -303,7 +303,7 @@ jobs:
   steps:
     - checkout: self
       lfs: true
-      fetchDepth: 1
+      fetchDepth: 10
     - script: |
        choco install -y msys2
        rem refreshenv
@@ -336,7 +336,7 @@ jobs:
   steps:
     - checkout: self
       lfs: true
-      fetchDepth: 1
+      fetchDepth: 10
     - script: |
         export CPPFLAGS="-Werror -Wall -Wextra -Wextra-semi -Wundef -Wnon-virtual-dtor" && cd icu4c/source && ./runConfigureICU MacOSX && make -j2 check
       displayName: 'Build and Test (WarningsAsErrors)'
diff --git a/.ci-builds/.azure-valgrind.yml b/.ci-builds/.azure-valgrind.yml
index 47bc888df11..6b00e5689d3 100644
--- a/.ci-builds/.azure-valgrind.yml
+++ b/.ci-builds/.azure-valgrind.yml
@@ -39,7 +39,7 @@ jobs:
   steps:
     - checkout: self
       lfs: true
-      fetchDepth: 1
+      fetchDepth: 10
     - script: |
         set -ex
         sudo apt -y update