diff --git a/Dockerfile b/Dockerfile
index b27e98dc1d029b5c50f84827d3b069beff0b233d..31e9571dd4314d68abce98db0666afcd97bb29b7 100644
--- a/Dockerfile
+++ b/Dockerfile
@@ -1,9 +1,9 @@
-FROM golang:1.13
+FROM golang:1.15
 
 WORKDIR /go/src/github.com/mccutchen/go-httpbin
 
-COPY Makefile .
-RUN make deps
+# Manually implement the subset of `make deps` we need to build the image
+RUN cd /tmp && go get -u github.com/kevinburke/go-bindata/...
 
 COPY . .
 RUN make build buildtests