diff --git a/.travis.yml b/.travis.yml
index bd5f2d7968..a376d39be9 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -249,7 +249,7 @@ after_success:
       name: 'x86_64 Linux  [GOAL: install]  [bionic]  [uses qt5 dev package instead of depends Qt to speed up build and avoid timeout] [unsigned char]'
       env: >-
         FILE_ENV="./ci/test/00_setup_env_amd64_qt5.sh"
-
+# x86_64 Linux (xenial, no depends, only system libs, sanitizers: thread (TSan))
     - stage: test
       name: 'x86_64 Linux  [GOAL: install]  [trusty]  [no functional tests, no depends, only system libs]'
       env: >-
@@ -259,7 +259,7 @@ after_success:
       name: 'x86_64 Linux  [GOAL: install]  [xenial]  [no depends, only system libs, sanitizers: thread (TSan), no wallet]'
       env: >-
         FILE_ENV="./ci/test/00_setup_env_amd64_tsan.sh"
-
+# x86_64 Linux (no depends, only system libs, sanitizers: address/leak (ASan + LSan) + undefined (UBSan) + integer)
     - stage: test
       name: 'x86_64 Linux  [GOAL: install]  [bionic]  [no depends, only system libs, sanitizers: address/leak (ASan + LSan) + undefined (UBSan) + integer]'
       env: >-
@@ -269,7 +269,6 @@ after_success:
       name: 'x86_64 Linux  [GOAL: install]  [bionic]  [no wallet]'
       env: >-
         FILE_ENV="./ci/test/00_setup_env_amd64_fuzz.sh"
-
     - stage: test
       env: >-
         FILE_ENV="./ci/test/00_setup_env_amd64_nowallet.sh"
diff --git a/test/functional/p2p_invalid_messages.py b/test/functional/p2p_invalid_messages.py
index b656b00e68..5cffdc0802 100755
--- a/test/functional/p2p_invalid_messages.py
+++ b/test/functional/p2p_invalid_messages.py
@@ -4,6 +4,7 @@
 # file COPYING or http://www.opensource.org/licenses/mit-license.php.
 """Test node responses to invalid network messages."""
 import asyncio
+import os
 import struct
 import sys
 
@@ -65,7 +66,10 @@ class InvalidMessagesTest(BitcoinTestFramework):
         msg_at_size = msg_unrecognized(str_data="b" * valid_data_limit)
         assert len(msg_at_size.serialize()) == msg_limit
 
-        with node.assert_memory_usage_stable(increase_allowed=0.5):
+        increase_allowed = 0.5
+        if [s for s in os.environ.get("BITCOIN_CONFIG", "").split(" ") if "--with-sanitizers" in s and "address" in s]:
+            increase_allowed = 3.5
+        with node.assert_memory_usage_stable(increase_allowed=increase_allowed):
             self.log.info(
                 "Sending a bunch of large, junk messages to test "
                 "memory exhaustion. May take a bit...")
diff --git a/test/sanitizer_suppressions/lsan b/test/sanitizer_suppressions/lsan
new file mode 100644
index 0000000000..6d903229d4
--- /dev/null
+++ b/test/sanitizer_suppressions/lsan
@@ -0,0 +1,10 @@
+# Suppress warnings about addCoin(...) leak in the CoinSelection benchmark
+leak:addCoin
+leak:bench_dash
+
+# Suppress warnings triggered in dependencies
+leak:libcrypto
+leak:libqminimal
+leak:libQt5Core
+leak:libQt5Gui
+leak:libQt5Widgets