diff --git a/tests/testthat/test-offsets.R b/tests/testthat/test-offsets.R
index fbb9daa49..c125cd615 100644
--- a/tests/testthat/test-offsets.R
+++ b/tests/testthat/test-offsets.R
@@ -15,6 +15,13 @@ data(sampson)
 total.theta <- coef(ergm(samplike~edges))
 offset.theta <- pi
 
+wald_pval <- function(fit1, fit2, i1=TRUE, i2=TRUE){
+  d <- coef(fit1)[i1] - coef(fit2)[i2]
+  df <- length(d)
+  vcov <- vcov(fit1, sources="estimation")[i1,i1] + vcov(fit2, sources="estimation")[i2,i2]
+  pchisq(d %*% solve(vcov) %*% d, df, lower.tail=FALSE)
+}
+
 test_that("Linear ERGM with free parameter before offset", {
   e1 <- ergm(samplike~edges+offset(edges), offset.coef=c(pi))
   expect_equal(coef(e1)[1], total.theta-offset.theta, tolerance=0.00001, ignore_attr=TRUE)
@@ -40,7 +47,7 @@ test_that("Linear ERGM with partial offsets", {
 test_that("Curved ERGM with partial offsets", {
   e4 <- ergm(samplike~edges+gwesp(0.25, fix=TRUE), control=control.ergm(seed=0,MCMLE.maxit=2))
   e4a <- ergm(samplike~edges+offset(gwesp(),c(FALSE,TRUE)), offset.coef=0.25, control=control.ergm(seed=0,MCMLE.maxit=2))
-  expect_equal(coef(e4a)[-3], coef(e4), tolerance=0.06, ignore_attr=TRUE)
+  expect_gt(wald_pval(e4a, e4, -3, TRUE), 0.01)
   expect_equal(logLik(e4a), logLik(e4), tolerance=0.01, ignore_attr=TRUE)
 })