diff --git a/src/Double.jl b/src/Double.jl
index e51d8856..ba2ab851 100644
--- a/src/Double.jl
+++ b/src/Double.jl
@@ -213,8 +213,8 @@ DoubleFloat(x::Int64) = Double64(x, zero(Int64))
 DoubleFloat(x::Int32) = Double32(x, zero(Int32))
 DoubleFloat(x::Int16) = Double16(x, zero(Int16))
 
-# overload Base._precision to support the base keyword in Julia 1.8
-let precision = isdefined(Base, :_precision) ? :_precision : :precision
+# overload Base._precision_with_base_2 or Base._precision to support the base keyword in Julia 1.8
+let precision = isdefined(Base, :_precision_with_base_2) ? :_precision_with_base_2 : isdefined(Base, :_precision) ? :_precision : :precision
     @eval Base.$precision(::Type{DoubleFloat{T}}) where {T<:IEEEFloat} = 2*Base.$precision(T)
 end