diff --git a/tests/integration/_common.sh b/tests/integration/_common.sh
index 8a1c07e3c..83aa91a9e 100755
--- a/tests/integration/_common.sh
+++ b/tests/integration/_common.sh
@@ -3,12 +3,15 @@
 root=${root:-$(mktemp -d -t leitXXXX)}
 echo "Root integration tests directory: $root"
 config_dir="$root/conf"
-store_flags="--config-dir $config_dir --work-dir $root/work"
-store_flags="$store_flags --logs-dir $root/logs"
 tls_sni_01_port=5001
 http_01_port=5002
 sources="acme/,$(ls -dm certbot*/ | tr -d ' \n')"
-export root config_dir store_flags tls_sni_01_port http_01_port sources
+export root config_dir tls_sni_01_port http_01_port sources
+certbot_path="$(command -v certbot)"
+# Flags that are added here will be added to Certbot calls within
+# certbot_test_no_force_renew.
+other_flags="--config-dir $config_dir --work-dir $root/work"
+other_flags="$other_flags --logs-dir $root/logs"
 
 certbot_test () {
     certbot_test_no_force_renew \
@@ -16,11 +19,35 @@ certbot_test () {
         "$@"
 }
 
+# Succeeds if Certbot version is at least the given version number and fails
+# otherwise. This is useful for making sure Certbot has certain features
+# available. The patch version is currently ignored.
+#
+# Arguments:
+#   First argument is the minimum major version
+#   Second argument is the minimum minor version
+version_at_least () {
+    # Certbot major and minor version (e.g. 0.30)
+    major_minor=$("$certbot_path" --version 2>&1 | cut -d' ' -f2 | cut -d. -f1,2)
+    major=$(echo "$major_minor" | cut -d. -f1)
+    minor=$(echo "$major_minor" | cut -d. -f2)
+    # Test that either the major version is greater or major version is equal
+    # and minor version is greater than or equal to.
+    [ \( "$major" -gt "$1" \) -o \( "$major" -eq "$1" -a "$minor" -ge "$2" \) ]
+}
+
 # Use local ACMEv2 endpoint if requested and SERVER isn't already set.
 if [ "${BOULDER_INTEGRATION:-v1}" = "v2" -a -z "${SERVER:+x}" ]; then
     SERVER="http://localhost:4001/directory"
 fi
 
+# --no-random-sleep-on-renew was added in
+# https://github.com/certbot/certbot/pull/6599 and first released in Certbot
+# 0.30.0.
+if version_at_least 0 30; then
+  other_flags="$other_flags --no-random-sleep-on-renew"
+fi
+
 certbot_test_no_force_renew () {
     omit_patterns="*/*.egg-info/*,*/dns_common*,*/setup.py,*/test_*,*/tests/*"
     omit_patterns="$omit_patterns,*_test.py,*_test_*,certbot-apache/*"
@@ -30,19 +57,18 @@ certbot_test_no_force_renew () {
         --append \
         --source $sources \
         --omit $omit_patterns \
-        $(command -v certbot) \
+        "$certbot_path" \
             --server "${SERVER:-http://localhost:4000/directory}" \
             --no-verify-ssl \
             --tls-sni-01-port $tls_sni_01_port \
             --http-01-port $http_01_port \
             --manual-public-ip-logging-ok \
-            $store_flags \
+            $other_flags \
             --non-interactive \
             --no-redirect \
             --agree-tos \
             --register-unsafely-without-email \
             --debug \
             -vv \
-            --no-random-sleep-on-renew \
             "$@"
 }