diff --git a/Project.toml b/Project.toml
index 29123b5..d578dcb 100644
--- a/Project.toml
+++ b/Project.toml
@@ -4,6 +4,7 @@ version = "0.4.7"
 
 [deps]
 LogExpFunctions = "2ab3a3ac-af41-5b50-aa03-7779005ae688"
+PrecompileTools = "aea7be01-6a6a-4083-8856-8a6e6704d82a"
 Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
 
 [compat]
@@ -13,6 +14,7 @@ Distributions = "0.25"
 ExplicitImports = "1.14.0"
 JET = "0.9, 0.10, 0.11"
 LogExpFunctions = "0.3"
+PrecompileTools = "1"
 Random = "1.10"
 Statistics = "1"
 Test = "1"
diff --git a/src/PoissonRandom.jl b/src/PoissonRandom.jl
index 8c4509b..94c9418 100644
--- a/src/PoissonRandom.jl
+++ b/src/PoissonRandom.jl
@@ -2,6 +2,7 @@ module PoissonRandom
 
 using Random: Random, AbstractRNG, randexp
 using LogExpFunctions: log1pmx
+using PrecompileTools: @compile_workload
 
 export pois_rand, PassthroughRNG
 
@@ -136,4 +137,14 @@ pois_rand(PoissonRandom.PassthroughRNG(), λ)
 pois_rand(λ::Real) = pois_rand(Random.GLOBAL_RNG, λ)
 pois_rand(rng::AbstractRNG, λ::Real) = λ < 6 ? count_rand(rng, λ) : ad_rand(rng, λ)
 
+@compile_workload begin
+    # Precompile the most common code paths
+    # Small λ uses count_rand, large λ uses ad_rand
+    pois_rand(3.0)   # count_rand path (λ < 6)
+    pois_rand(50.0)  # ad_rand path (λ >= 6)
+    # PassthroughRNG for GPU compatibility
+    pois_rand(PassthroughRNG(), 3.0)
+    pois_rand(PassthroughRNG(), 50.0)
+end
+
 end # module