diff --git a/src/deprecations.jl b/src/deprecations.jl
index 353f1ede3c..fa36fd2382 100644
--- a/src/deprecations.jl
+++ b/src/deprecations.jl
@@ -83,11 +83,20 @@ function params!(p::Zygote.Params, x, seen = IdSet())
   end
 end
 
+"""
+    params(model)
+
+Returns a `Zygote.Params` object containing all parameter arrays from the model.
+This is deprecated!
+
+This function was the cornerstone of how Flux used Zygote's implicit mode gradients,
+but since Flux 0.13 we use explicit mode `gradient(m -> loss(m, x, y), model)` instead.
+
+To collect all the parameter arrays for other purposes, use `Flux.trainables(model)`.
+"""
 function params(m...)
-  Base.depwarn("""
-  Flux.params(m...) is deprecated. Use `Flux.trainable(model)` for parameters' collection
-  and the explicit `gradient(m -> loss(m, x, y), model)` for gradient computation.
-  """, :params)
+  @warn """`Flux.params(m...)` is deprecated. Use `Flux.trainable(model)` for parameter collection,
+  and the explicit `gradient(m -> loss(m, x, y), model)` for gradient computation.""" maxlog=1
   ps = Params()
   params!(ps, m)
   return ps