diff --git a/base/bitset.jl b/base/bitset.jl
index d1acdb0e5176f..5ce07389c771e 100644
--- a/base/bitset.jl
+++ b/base/bitset.jl
@@ -15,7 +15,7 @@ mutable struct BitSet <: AbstractSet{Int}
     # 1st stored Int equals 64*offset
     offset::Int
 
-    BitSet() = new(sizehint!(zeros(UInt64, 0), 4), NO_OFFSET)
+    BitSet() = new(resize!(Vector{UInt64}(undef, 4), 0), NO_OFFSET)
 end
 
 """