diff --git a/contrib/pzstd/Makefile b/contrib/pzstd/Makefile
index e62f8e873c..9604eb2438 100644
--- a/contrib/pzstd/Makefile
+++ b/contrib/pzstd/Makefile
@@ -10,7 +10,7 @@
 # Standard variables for installation
 DESTDIR ?=
 PREFIX  ?= /usr/local
-BINDIR  := $(DESTDIR)$(PREFIX)/bin
+BINDIR  := $(PREFIX)/bin
 
 ZSTDDIR = ../../lib
 PROGDIR = ../../programs
@@ -112,12 +112,12 @@ check:
 .PHONY: install
 install: PZSTD_CPPFLAGS += -DNDEBUG
 install: pzstd$(EXT)
-	install -d -m 755 $(BINDIR)/
-	install -m 755 pzstd$(EXT) $(BINDIR)/pzstd$(EXT)
+	install -d -m 755 $(DESTDIR)$(BINDIR)/
+	install -m 755 pzstd$(EXT) $(DESTDIR)$(BINDIR)/pzstd$(EXT)
 
 .PHONY: uninstall
 uninstall:
-	$(RM) $(BINDIR)/pzstd$(EXT)
+	$(RM) $(DESTDIR)$(BINDIR)/pzstd$(EXT)
 
 # Targets for many different builds
 .PHONY: all