diff --git a/acinclude.m4 b/acinclude.m4
index acccc89c14..321ecfa445 100644
--- a/acinclude.m4
+++ b/acinclude.m4
@@ -362,6 +362,12 @@ else
 		i386-unknown-openbsd3.2)
 			AFS_SYSNAME="i386_obsd32"
 			;;
+		i386-unknown-openbsd3.3)
+			AFS_SYSNAME="i386_obsd33"
+			;;
+		i386-unknown-openbsd3.4)
+			AFS_SYSNAME="i386_obsd34"
+			;;
 		i?86-*-freebsd4.2*)
 			AFS_SYSNAME="i386_fbsd_42"
 			;;
@@ -383,6 +389,12 @@ else
 		i?86-*-freebsd5.0*)
 			AFS_SYSNAME="i386_fbsd_50"
 			;;
+		i?86-*-freebsd5.1*)
+			AFS_SYSNAME="i386_fbsd_51"
+			;;
+		i?86-*-freebsd5.2*)
+			AFS_SYSNAME="i386_fbsd_52"
+			;;
 		i?86-*-netbsd*1.5*)
 			AFS_PARAM_COMMON=param.nbsd15.h
 			AFS_SYSNAME="i386_nbsd15"