diff --git a/pyinfra/server/bufferizer/lazy_bufferizer.py b/pyinfra/server/bufferizer/lazy_bufferizer.py
index 9396b80..4c3feab 100644
--- a/pyinfra/server/bufferizer/lazy_bufferizer.py
+++ b/pyinfra/server/bufferizer/lazy_bufferizer.py
@@ -2,10 +2,11 @@ import logging
 from collections import deque
 from itertools import chain, takewhile
 
-from funcy import first, repeatedly
+from funcy import first, repeatedly, compose, flatten
 
 from pyinfra.server.bufferizer.buffer import bufferize
 from pyinfra.server.dispatcher.dispatcher import Nothing, is_not_nothing
+from pyinfra.utils.func import lift
 
 logger = logging.getLogger(__name__)
 
@@ -28,17 +29,17 @@ class Queue:
         return bool(self.__queue)
 
 
-def make_buffered_consumer(fn, buffer_size=3):
+class FlatStreamBuffer:
     """Produces a function, which applied to n inputs, produces m >= n outputs, when called m times. If m > n, then the
     function needs to be called m - n times with `Nothing` to return the remaining values.
     """
 
-    fn = StreamBuffer(fn, buffer_size=buffer_size)
+    def __init__(self, fn, buffer_size=3):
+        """Function `fn` Needs to be a mappable generator."""
+        self.fn = lift(StreamBuffer(fn, buffer_size=buffer_size))
 
-    def consume(items):
-        return first(chain.from_iterable(map(fn, items))) or Nothing
-
-    return consume
+    def __call__(self, items):
+        yield from compose(flatten, self.fn)(items)
 
 
 class StreamBuffer:
diff --git a/pyinfra/server/server.py b/pyinfra/server/server.py
index 83deb3f..420f688 100644
--- a/pyinfra/server/server.py
+++ b/pyinfra/server/server.py
@@ -2,9 +2,9 @@ import logging
 from itertools import chain
 
 from flask import Flask, jsonify, request
-from funcy import compose, identity
+from funcy import compose, identity, first
 
-from pyinfra.server.bufferizer.lazy_bufferizer import Queue, stream_queue
+from pyinfra.server.bufferizer.lazy_bufferizer import Queue, stream_queue, FlatStreamBuffer
 from pyinfra.server.dispatcher.dispatcher import Nothing
 from pyinfra.server.utils import unpack, normalize, pack
 from pyinfra.utils.func import starlift, lift
@@ -27,21 +27,21 @@ def make_streamable_and_wrap_in_packing_logic(fn, batched):
 
 
 class LazyProcessor:
-    def __init__(self, buffered_consumer):
+    def __init__(self, stream_buffer: FlatStreamBuffer):
         self.queue = Queue()
-        self.buffered_consumer = buffered_consumer
+        self.stream_buffer = stream_buffer
 
     def push(self, item):
         self.queue.append(item)
 
     def pop(self):
         items = chain(stream_queue(self.queue), [Nothing])
-        result = self.buffered_consumer(items)
+        result = first(self.stream_buffer(items)) or Nothing
         return result
 
 
 class LazyRestProcessor:
-    def __init__(self, lazy_processor, submit_suffix="submit", pickup_suffix="pickup"):
+    def __init__(self, lazy_processor: LazyProcessor, submit_suffix="submit", pickup_suffix="pickup"):
         self.submit_suffix = submit_suffix
         self.pickup_suffix = pickup_suffix
         self.lazy_processor = lazy_processor
diff --git a/test/fixtures/server.py b/test/fixtures/server.py
index 4f0d3cb..2307d6d 100644
--- a/test/fixtures/server.py
+++ b/test/fixtures/server.py
@@ -9,7 +9,7 @@ from PIL import Image
 from funcy import retry
 from waitress import serve
 
-from pyinfra.server.bufferizer.lazy_bufferizer import make_buffered_consumer
+from pyinfra.server.bufferizer.lazy_bufferizer import FlatStreamBuffer
 from pyinfra.server.server import set_up_processing_server, make_streamable_and_wrap_in_packing_logic, LazyProcessor
 from pyinfra.utils.func import starlift
 from test.utils.image import image_to_bytes
@@ -38,7 +38,7 @@ def url(host, port):
 
 @pytest.fixture
 def server(processor_fn, buffer_size):
-    buffered_consumer = make_buffered_consumer(processor_fn, buffer_size=buffer_size)
+    buffered_consumer = FlatStreamBuffer(processor_fn, buffer_size=buffer_size)
     lazy_processor = LazyProcessor(buffered_consumer)
     return set_up_processing_server(lazy_processor)