diff --git a/fsspec/caching.py b/fsspec/caching.py
index 545caff1b..85ea05320 100644
--- a/fsspec/caching.py
+++ b/fsspec/caching.py
@@ -23,6 +23,8 @@ class BaseCache(object):
         How big this file is
     """
 
+    name = "none"
+
     def __init__(self, blocksize, fetcher, size):
         self.blocksize = blocksize
         self.fetcher = fetcher
@@ -47,6 +49,8 @@ class MMapCache(BaseCache):
     This cache method might only work on posix
     """
 
+    name = "mmap"
+
     def __init__(self, blocksize, fetcher, size, location=None, blocks=None):
         super().__init__(blocksize, fetcher, size)
         self.blocks = set() if blocks is None else blocks
@@ -116,6 +120,8 @@ class ReadAheadCache(BaseCache):
     many small reads in a sequential order (e.g., reading lines from a file).
     """
 
+    name = "readahead"
+
     def __init__(self, blocksize, fetcher, size):
         super().__init__(blocksize, fetcher, size)
         self.cache = b""
@@ -171,6 +177,8 @@ class BlockCache(BaseCache):
         use for this cache is then ``blocksize * maxblocks``.
     """
 
+    name = "blockcache"
+
     def __init__(self, blocksize, fetcher, size, maxblocks=32):
         super().__init__(blocksize, fetcher, size)
         self.nblocks = math.ceil(size / blocksize)
@@ -292,6 +300,8 @@ class BytesCache(BaseCache):
         we are more than a blocksize ahead of it.
     """
 
+    name = "bytes"
+
     def __init__(self, blocksize, fetcher, size, trim=True):
         super().__init__(blocksize, fetcher, size)
         self.cache = b""
@@ -367,6 +377,8 @@ def __len__(self):
 class AllBytes(BaseCache):
     """Cache entire contents of the file"""
 
+    name = "all"
+
     def __init__(self, blocksize=None, fetcher=None, size=None, data=None):
         super().__init__(blocksize, fetcher, size)
         if data is None:
diff --git a/fsspec/implementations/http.py b/fsspec/implementations/http.py
index 4eca88737..029e4b963 100644
--- a/fsspec/implementations/http.py
+++ b/fsspec/implementations/http.py
@@ -205,6 +205,7 @@ def _open(
         autocommit=None,  # XXX: This differs from the base class.
         cache_type=None,
         cache_options=None,
+        size=None,
         **kwargs
     ):
         """Make a file-like object
@@ -227,7 +228,7 @@ def _open(
         kw = self.kwargs.copy()
         kw["asynchronous"] = self.asynchronous
         kw.update(kwargs)
-        size = self.size(path)
+        size = size or self.size(path)
         if block_size and size:
             return HTTPFile(
                 self,
@@ -434,9 +435,21 @@ async def async_fetch_range(self, start, end):
     def close(self):
         pass
 
+    def __reduce__(self):
+        return reopen, (
+            self.fs,
+            self.url,
+            self.mode,
+            self.blocksize,
+            self.cache.name,
+            self.size,
+        )
+
 
-async def get(session, url, **kwargs):
-    return await session.get(url, **kwargs)
+def reopen(fs, url, mode, blocksize, cache_type, size=None):
+    return fs.open(
+        url, mode=mode, block_size=blocksize, cache_type=cache_type, size=size
+    )
 
 
 class HTTPStreamFile(AbstractBufferedFile):
@@ -449,7 +462,7 @@ def __init__(self, fs, url, mode="rb", loop=None, session=None, **kwargs):
             raise ValueError
         self.details = {"name": url, "size": None}
         super().__init__(fs=fs, path=url, mode=mode, cache_type="none", **kwargs)
-        self.r = sync(self.loop, get, self.session, url, **kwargs)
+        self.r = sync(self.loop, self.session.get, url, **kwargs)
 
     def seek(self, *args, **kwargs):
         raise ValueError("Cannot seek streaming HTTP file")
@@ -467,6 +480,9 @@ async def _close(self):
     def close(self):
         asyncio.run_coroutine_threadsafe(self._close(), self.loop)
 
+    def __reduce__(self):
+        return reopen, (self.fs, self.url, self.mode, self.blocksize, self.cache.name)
+
 
 async def get_range(session, url, start, end, file=None, **kwargs):
     # explicit get a range when we know it must be safe
diff --git a/fsspec/implementations/tests/test_http.py b/fsspec/implementations/tests/test_http.py
index d3a98a92c..ff56b7767 100644
--- a/fsspec/implementations/tests/test_http.py
+++ b/fsspec/implementations/tests/test_http.py
@@ -125,6 +125,28 @@ def test_read(server):
         assert f.read(100) + f.read() == data
 
 
+def test_file_pickle(server):
+    import pickle
+
+    # via HTTPFile
+    h = fsspec.filesystem("http", headers={"give_length": "true", "head_ok": "true"})
+    out = server + "/index/realfile"
+    with h.open(out, "rb") as f:
+        pic = pickle.dumps(f)
+        assert f.read() == data
+    with pickle.loads(pic) as f:
+        assert f.read() == data
+
+    # via HTTPStreamFile
+    h = fsspec.filesystem("http")
+    out = server + "/index/realfile"
+    with h.open(out, "rb") as f:
+        out = pickle.dumps(f)
+        assert f.read() == data
+    with pickle.loads(out) as f:
+        assert f.read() == data
+
+
 def test_methods(server):
     h = fsspec.filesystem("http")
     url = server + "/index/realfile"