diff --git a/.travis.yml b/.travis.yml
index ef2e419985..64f8380bce 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -22,8 +22,10 @@ os:
 ## OS and compiler.
 env:
   global:
-    ## The Travis CI environment allows us two cores, so let's use both.
-    - MAKEFLAGS="-j 2"
+    ## The Travis CI environment allows us two cores, so let's use both.  Also,
+    ## let's use the "-k" flag so that we get all of the compilation failures,
+    ## not just the first one.
+    - MAKEFLAGS="-k -j 2"
     ## We turn on hardening by default
     ## Also known as --enable-fragile-hardening in 0.3.0.3-alpha and later
     - HARDENING_OPTIONS="--enable-expensive-hardening"
diff --git a/changes/ticket31372_travis b/changes/ticket31372_travis
new file mode 100644
index 0000000000..403869b2ed
--- /dev/null
+++ b/changes/ticket31372_travis
@@ -0,0 +1,4 @@
+  o Minor features (continuous integration):
+    - When building on Travis, pass the "-k" flag to make, so that
+      we are informed of all compilation failures, not just the first
+      one or two. Closes part of ticket 31372.