diff --git a/DESCRIPTION b/DESCRIPTION
index 8d40515..7bb27d2 100644
--- a/DESCRIPTION
+++ b/DESCRIPTION
@@ -1,6 +1,6 @@
 Package: modelbpp
 Title: Model BIC Posterior Probability
-Version: 0.3.0.5
+Version: 0.4.0
 Authors@R:
     c(person(given = "Shu Fai",
              family = "Cheung",
diff --git a/NEWS.md b/NEWS.md
index 0ffa270..c740008 100644
--- a/NEWS.md
+++ b/NEWS.md
@@ -1,4 +1,4 @@
-# modelbpp 0.3.0.5
+# modelbpp 0.4.0
 
 ## Miscellaneous
 
@@ -35,6 +35,10 @@
   without constraints.
   (0.3.0.4, 0.3.0.5)
 
+- In `fit_many()`, removed the printing of
+  expected CPU time because the estimate
+  is not reliable.
+  (0.3.0.6)
 
 # modelbpp 0.3.0
 
diff --git a/R/fit_many.R b/R/fit_many.R
index 82cb093..e3b3d38 100644
--- a/R/fit_many.R
+++ b/R/fit_many.R
@@ -299,9 +299,10 @@ fit_many <- function(model_list,
       texp <-  1.2 * p_models * ft / length(cl)
       if (verbose) {
           message(paste0(length(cl), " processes started to run model fitting."))
-          message(paste0("The expected CPU time is about ",
-                          round(texp, 2),
-                          " second(s)."))
+          # # 2026-07-17: Disable the expected time because it is unreliable.
+          # message(paste0("The expected CPU time is about ",
+          #                 round(texp, 2),
+          #                 " second(s)."))
           utils::flush.console()
         }
       pkgs <- .packages()
diff --git a/README.md b/README.md
index 10ecec5..ceee2cb 100644
--- a/README.md
+++ b/README.md
@@ -11,7 +11,7 @@
 
 # modelbpp: Model BIC Posterior Probability <img src="man/figures/logo.png" align="right" />
 
-(Version 0.3.0.5 updated on 2026-06-11, [release history](https://sfcheung.github.io/modelbpp/news/index.html))
+(Version 0.4.0 updated on 2026-07-17, [release history](https://sfcheung.github.io/modelbpp/news/index.html))
 
 This package is for assessing model uncertainty in structural
 equation modeling (SEM) by the BIC posterior