diff --git a/R/data.R b/R/data.R
index 672d6058..a00e891f 100644
--- a/R/data.R
+++ b/R/data.R
@@ -185,9 +185,11 @@ process_data <- function(data, model_variables = NULL) {
         # Make sure integer inputs are of integer type to avoid
         # generating a decimal point in write_stan_json
         if (data_variables[[var_name]]$type == "int"
-            && !(is.integer(data[[var_name]]) || all(data[[var_name]] == as.integer(data[[var_name]])))) {
-          warning("A non-integer value was supplied for '", var_name, "'!",
-                  " It will be truncated to an integer.", call. = FALSE)
+            && !is.integer(data[[var_name]])) {
+          if (!all(is_wholenumber(data[[var_name]]))) {
+            warning("A non-integer value was supplied for '", var_name, "'!",
+                    " It will be truncated to an integer.", call. = FALSE)
+          }
           mode(data[[var_name]]) <- "integer"
         }
       }
diff --git a/R/utils.R b/R/utils.R
index ef36d0c7..ecac323c 100644
--- a/R/utils.R
+++ b/R/utils.R
@@ -36,6 +36,10 @@ matching_variables <- function(variable_filters, variables) {
   )
 }
 
+is_wholenumber <- function(x, tol = sqrt(.Machine$double.eps)) {
+  abs(x - round(x)) < tol
+}
+
 # checks for OS and hardware ----------------------------------------------
 
 os_is_windows <- function() {