diff --git a/README.md b/README.md
index 4ba98d1..d6b6d63 100644
--- a/README.md
+++ b/README.md
@@ -53,6 +53,9 @@ project's deps are on the source roots and its native libs are loaded, so
 Each session keeps its own current namespace and runs evals on a dedicated
 serialized worker thread, so sessions are isolated and a long eval doesn't block
 other ops. `interrupt` aborts the running eval and the session keeps serving.
+An eval's output reaches the client as it is printed, one `out` (or `err`)
+message per flush, not all at once when the eval finishes. That needs jolt
+0.8.13, the floor `deps.edn` declares.
 
 Leave `cider.nrepl/cider-middleware` out if you only want eval: the cider ops are
 what pull in orchard and compliment.
diff --git a/deps.edn b/deps.edn
index 27095a2..ed0307b 100644
--- a/deps.edn
+++ b/deps.edn
@@ -1,7 +1,9 @@
 {;; jolt.ffi/write takes the value BEFORE the offset as of jolt 0.8.0, and the
  ;; two spellings are both integers — an older runtime writes to the wrong
  ;; place rather than failing. Declare the floor so it refuses instead.
- :jolt/min-version "0.8.0"
+ ;; 0.8.13: jolt.nrepl/evaluate's {:out f :err f} arity, which the session
+ ;; middleware streams eval output through.
+ :jolt/min-version "0.8.13"
 
  :paths ["src"]
 
diff --git a/src/nrepl/middleware/session.clj b/src/nrepl/middleware/session.clj
index 16058a1..c0797b5 100644
--- a/src/nrepl/middleware/session.clj
+++ b/src/nrepl/middleware/session.clj
@@ -41,8 +41,13 @@
         ns-atom (:ns session)
         ;; the actual evaluation runs interruptibly: interrupt! on `token` aborts
         ;; it (throws {:jolt/interrupted true}), which the worker catches below.
+        ;; Output streams: evaluate calls :out / :err with each chunk as it is
+        ;; flushed, while the eval runs, as upstream's session writers do. :out
+        ;; then comes back empty.
         {:keys [value out ns err ex err-msg ex-class root-ex-class]}
-        (jolt.host/run-interruptible token (fn [] (server/evaluate code (or ns-str @ns-atom))))]
+        (jolt.host/run-interruptible token (fn [] (server/evaluate code (or ns-str @ns-atom)
+                                                                   {:out (fn [s] (reply {"out" s}))
+                                                                    :err (fn [s] (reply {"err" s}))})))]
     (reset! ns-atom ns)
     (when (seq out) (reply {"out" out}))
     (cond
diff --git a/test/nrepl/middleware/session_test.clj b/test/nrepl/middleware/session_test.clj
index a2d0134..f0e701c 100644
--- a/test/nrepl/middleware/session_test.clj
+++ b/test/nrepl/middleware/session_test.clj
@@ -64,3 +64,20 @@
             c (h/combine (h/eval-code t "(map (fn [x] (println \"side\" x) x) [1 2])" :session s))]
         (is (= "side 1\nside 2\n" (:out c)))
         (is (= ["(1 2)"] (:value c)))))))
+
+(deftest eval-output-streams-as-it-is-flushed
+  (with-conn t
+    (let [s (h/new-session t)
+          rs (h/eval-code t "(println \"first\") (Thread/sleep 200) (println \"second\") :ok" :session s)]
+      (testing "each println is its own out message, not one batch at the end"
+        (is (= ["first\n" "second\n"] (keep :out rs))))
+      (testing "the output comes before the value"
+        (is (< (.indexOf ^java.util.List (vec rs) (first (filter :out rs)))
+               (.indexOf ^java.util.List (vec rs) (first (filter :value rs)))))))))
+
+(deftest eval-err-output-reaches-the-client
+  (with-conn t
+    (let [s (h/new-session t)
+          rs (h/eval-code t "(binding [*out* *err*] (println \"warned\")) :ok" :session s)]
+      (is (= ["warned\n"] (keep :err rs)))
+      (is (= [":ok"] (keep :value rs))))))