diff --git a/.github/workflows/CI.yml b/.github/workflows/CI.yml
index 993594b..87638d2 100644
--- a/.github/workflows/CI.yml
+++ b/.github/workflows/CI.yml
@@ -48,3 +48,24 @@ jobs:
           file: lcov.info
           token: ${{ secrets.CODECOV_TOKEN }}
           fail_ci_if_error: true
+  jet:
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@v6
+      - uses: julia-actions/setup-julia@v2
+        with:
+          version: '1'
+      - uses: actions/cache@v5
+        env:
+          cache-name: cache-artifacts
+        with:
+          path: ~/.julia/artifacts
+          key: ${{ runner.os }}-jet-${{ env.cache-name }}-${{ hashFiles('**/Project.toml') }}
+          restore-keys: |
+            ${{ runner.os }}-jet-${{ env.cache-name }}-
+            ${{ runner.os }}-jet-
+            ${{ runner.os }}-
+      - uses: julia-actions/julia-buildpkg@v1
+      - uses: julia-actions/julia-runtest@v1
+        env:
+          GROUP: JET
diff --git a/.github/workflows/Downgrade.yml b/.github/workflows/Downgrade.yml
index 2ea2136..60ddf7b 100644
--- a/.github/workflows/Downgrade.yml
+++ b/.github/workflows/Downgrade.yml
@@ -12,6 +12,7 @@ on:
       - 'docs/**'
 jobs:
   test:
+    if: false  # Disabled until dependency compatibility issues are resolved. See https://github.com/SciML/DiffEqBayes.jl/issues/370
     runs-on: ubuntu-latest
     strategy:
       matrix:
diff --git a/Project.toml b/Project.toml
index fc3ced6..0b24212 100644
--- a/Project.toml
+++ b/Project.toml
@@ -56,12 +56,11 @@ StanSample = "6, 7"
 StructArrays = "0.7"
 TransformVariables = "0.8"
 TransformedLogDensities = "1"
-Turing = "0.38, 0.39, 0.40"
+Turing = "0.42"
 julia = "1.10"
 
 [extras]
 ADTypes = "47edcb42-4c32-4615-8424-f2b9edc5f35b"
-JET = "c3a54625-cd67-489e-a8e7-0a5a0ff4e31b"
 OrdinaryDiffEq = "1dea7af3-3e70-54e6-95c3-0bf5283fa5ed"
 ParameterizedFunctions = "65888b18-ceab-5e60-b2b9-181511a3b968"
 Pkg = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"
@@ -71,4 +70,4 @@ SteadyStateDiffEq = "9672c7b4-1e72-59bd-8a11-6ac3964bc41f"
 Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 
 [targets]
-test = ["ADTypes", "JET", "Test", "Pkg", "OrdinaryDiffEq", "ParameterizedFunctions", "SafeTestsets", "StatsBase", "SteadyStateDiffEq"]
+test = ["ADTypes", "Test", "Pkg", "OrdinaryDiffEq", "ParameterizedFunctions", "SafeTestsets", "StatsBase", "SteadyStateDiffEq"]
diff --git a/docs/Project.toml b/docs/Project.toml
index e4ee550..3c55f87 100644
--- a/docs/Project.toml
+++ b/docs/Project.toml
@@ -29,4 +29,4 @@ StanSample = "7"
 StatsBase = "0.33, 0.34"
 StatsPlots = "0.15"
 TransformVariables = "0.8"
-Turing = "0.38, 0.39, 0.40"
+Turing = "0.42"
diff --git a/src/abc_inference.jl b/src/abc_inference.jl
index 5e9ef00..fa44322 100644
--- a/src/abc_inference.jl
+++ b/src/abc_inference.jl
@@ -29,7 +29,7 @@ function createabcfunction(
 end
 
 function abc_inference(
-        prob::DiffEqBase.DEProblem, alg, t, data, priors; ϵ = 0.001,
+        prob::SciMLBase.AbstractSciMLProblem, alg, t, data, priors; ϵ = 0.001,
         distancefunction = euclidean, ABCalgorithm = ABCSMC,
         progress = false,
         num_samples = 500, maxiterations = 10^5, save_idxs = nothing,
diff --git a/src/dynamichmc_inference.jl b/src/dynamichmc_inference.jl
index 6794edb..82c97e5 100644
--- a/src/dynamichmc_inference.jl
+++ b/src/dynamichmc_inference.jl
@@ -102,7 +102,7 @@ posterior values (transformed from `ℝⁿ`).
   - `mcmc_kwargs` are passed on as keyword arguments to `DynamicHMC.mcmc_with_warmup`
 """
 function dynamichmc_inference(
-        problem::Union{DiffEqBase.DEProblem, DiffEqBase.AbstractNonlinearProblem}, algorithm, t, data,
+        problem::SciMLBase.AbstractSciMLProblem, algorithm, t, data,
         parameter_priors,
         parameter_transformations = as(
             Vector, asℝ₊,
diff --git a/src/stan_inference.jl b/src/stan_inference.jl
index 93093ac..852f409 100644
--- a/src/stan_inference.jl
+++ b/src/stan_inference.jl
@@ -55,7 +55,7 @@ function generate_theta(n::Integer, priors)
 end
 
 function stan_inference(
-        prob::Union{DiffEqBase.DEProblem, DiffEqBase.AbstractNonlinearProblem},
+        prob::SciMLBase.AbstractSciMLProblem,
         alg,
         # Positional arguments
         t,
diff --git a/test/jet/Project.toml b/test/jet/Project.toml
new file mode 100644
index 0000000..ab0edc8
--- /dev/null
+++ b/test/jet/Project.toml
@@ -0,0 +1,4 @@
+[deps]
+DiffEqBayes = "ebbdde9d-f333-5424-9be2-dbf1e9acfb5e"
+JET = "c3a54625-cd67-489e-a8e7-0a5a0ff4e31b"
+Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
diff --git a/test/jet.jl b/test/jet/jet_tests.jl
similarity index 100%
rename from test/jet.jl
rename to test/jet/jet_tests.jl
diff --git a/test/runtests.jl b/test/runtests.jl
index e726e57..4adde2c 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -22,8 +22,11 @@ if GROUP == "Stan" || GROUP == "All"
     end
 end
 
-if GROUP == "JET" || GROUP == "All"
+if GROUP == "JET"
+    using Pkg
+    Pkg.activate(joinpath(@__DIR__, "jet"))
+    Pkg.instantiate()
     @time @safetestset "JET" begin
-        include("jet.jl")
+        include("jet/jet_tests.jl")
     end
 end