diff --git a/lib/OrdinaryDiffEqCore/Project.toml b/lib/OrdinaryDiffEqCore/Project.toml
index 063b6b7819..f3709df99d 100644
--- a/lib/OrdinaryDiffEqCore/Project.toml
+++ b/lib/OrdinaryDiffEqCore/Project.toml
@@ -49,7 +49,7 @@ Accessors = "0.1.36"
 Adapt = "3.0, 4"
 ArrayInterface = "7"
 DataStructures = "0.18"
-DiffEqBase = "6.159"
+DiffEqBase = "6.160"
 DiffEqDevTools = "2.44.4"
 DocStringExtensions = "0.9"
 EnumX = "1"
@@ -70,7 +70,7 @@ Random = "<0.0.1, 1"
 RecursiveArrayTools = "2.36, 3"
 Reexport = "1.0"
 SafeTestsets = "0.1.0"
-SciMLBase = "2.59.2"
+SciMLBase = "2.60"
 SciMLOperators = "0.3"
 SciMLStructures = "1"
 SimpleUnPack = "1"
diff --git a/lib/OrdinaryDiffEqCore/src/alg_utils.jl b/lib/OrdinaryDiffEqCore/src/alg_utils.jl
index 5d144fcfae..d5f89349d6 100644
--- a/lib/OrdinaryDiffEqCore/src/alg_utils.jl
+++ b/lib/OrdinaryDiffEqCore/src/alg_utils.jl
@@ -17,6 +17,9 @@ end
 
 SciMLBase.forwarddiffs_model_time(alg::RosenbrockAlgorithm) = true
 
+SciMLBase.allows_late_binding_tstops(::OrdinaryDiffEqAlgorithm) = true
+SciMLBase.allows_late_binding_tstops(::DAEAlgorithm) = true
+
 # isadaptive is defined below.
 
 ## OrdinaryDiffEq Internal Traits
diff --git a/lib/OrdinaryDiffEqCore/src/solve.jl b/lib/OrdinaryDiffEqCore/src/solve.jl
index f2c9e2e087..42fd07a5bf 100644
--- a/lib/OrdinaryDiffEqCore/src/solve.jl
+++ b/lib/OrdinaryDiffEqCore/src/solve.jl
@@ -242,6 +242,12 @@ function DiffEqBase.__init(
         resType = typeof(res_prototype)
     end
 
+    if tstops isa AbstractArray || tstops isa Tuple || tstops isa Number
+        _tstops = nothing
+    else
+        _tstops = tstops
+        tstops = ()
+    end
     tstops_internal = initialize_tstops(tType, tstops, d_discontinuities, tspan)
     saveat_internal = initialize_saveat(tType, saveat, tspan)
     d_discontinuities_internal = initialize_d_discontinuities(tType, d_discontinuities,
@@ -542,6 +548,13 @@ function DiffEqBase.__init(
         end
     end
 
+    if _tstops !== nothing
+        tstops = _tstops(parameter_values(integrator), prob.tspan)
+        for tstop in tstops
+            add_tstop!(integrator, tstop)
+        end
+    end
+
     handle_dt!(integrator)
     integrator
 end
diff --git a/test/interface/ode_tstops_tests.jl b/test/interface/ode_tstops_tests.jl
index ce85f0e859..a911ecfe8a 100644
--- a/test/interface/ode_tstops_tests.jl
+++ b/test/interface/ode_tstops_tests.jl
@@ -76,3 +76,15 @@ end
     prob = ODEProblem(ff, [0.0], (0.0f0, 1.0f0))
     sol = solve(prob, Tsit5(), tstops = [tval], callback = cb)
 end
+
+@testset "Late binding tstops" begin
+    function rhs(u, p, t)
+        u * p + t
+    end
+    prob = ODEProblem(rhs, 1.0, (0.0, 1.0), 0.1; tstops = (p, tspan) -> tspan[1]:p:tspan[2])
+    sol = solve(prob, Tsit5())
+    @test 0.0:0.1:1.0 ⊆ sol.t
+    prob2 = remake(prob; p = 0.07)
+    sol2 = solve(prob2, Tsit5())
+    @test 0.0:0.07:1.0 ⊆ sol2.t
+end