diff --git a/src/download.rs b/src/download.rs
index 4146cd966..285dce2e8 100644
--- a/src/download.rs
+++ b/src/download.rs
@@ -23,7 +23,7 @@ use crate::{job_try, stock_str, EventType};
 /// eg. to assign them to the correct chat.
 /// As these messages are typically small,
 /// they're caught by `MIN_DOWNLOAD_LIMIT`.
-const MIN_DOWNLOAD_LIMIT: u32 = 32768;
+pub(crate) const MIN_DOWNLOAD_LIMIT: u32 = 32768;
 
 /// If a message is downloaded only partially
 /// and `delete_server_after` is set to small timeouts (eg. "at once"),
diff --git a/src/receive_imf.rs b/src/receive_imf.rs
index b16ce3805..57215c8f0 100644
--- a/src/receive_imf.rs
+++ b/src/receive_imf.rs
@@ -77,6 +77,24 @@ pub async fn receive_imf(
     let mail = parse_mail(imf_raw).context("can't parse mail")?;
     let rfc724_mid =
         imap::prefetch_get_message_id(&mail.headers).unwrap_or_else(imap::create_message_id);
+    if let Some(download_limit) = context.download_limit().await? {
+        let download_limit: usize = download_limit.try_into()?;
+        if imf_raw.len() > download_limit {
+            let head = std::str::from_utf8(imf_raw)?
+                .split("\r\n\r\n")
+                .next()
+                .context("No empty line in the message")?;
+            return receive_imf_inner(
+                context,
+                &rfc724_mid,
+                head.as_bytes(),
+                seen,
+                Some(imf_raw.len().try_into()?),
+                false,
+            )
+            .await;
+        }
+    }
     receive_imf_inner(context, &rfc724_mid, imf_raw, seen, None, false).await
 }
 
@@ -1186,8 +1204,8 @@ INSERT INTO msgs
   )
 ON CONFLICT (id) DO UPDATE
 SET rfc724_mid=excluded.rfc724_mid, chat_id=excluded.chat_id,
-    from_id=excluded.from_id, to_id=excluded.to_id, timestamp=excluded.timestamp, timestamp_sent=excluded.timestamp_sent,
-    timestamp_rcvd=excluded.timestamp_rcvd, type=excluded.type, state=excluded.state, msgrmsg=excluded.msgrmsg,
+    from_id=excluded.from_id, to_id=excluded.to_id, timestamp_sent=excluded.timestamp_sent,
+    type=excluded.type, msgrmsg=excluded.msgrmsg,
     txt=excluded.txt, subject=excluded.subject, txt_raw=excluded.txt_raw, param=excluded.param,
     bytes=excluded.bytes, mime_headers=excluded.mime_headers,
     mime_compressed=excluded.mime_compressed, mime_in_reply_to=excluded.mime_in_reply_to,
diff --git a/src/receive_imf/tests.rs b/src/receive_imf/tests.rs
index dba3d5305..f11f3d31c 100644
--- a/src/receive_imf/tests.rs
+++ b/src/receive_imf/tests.rs
@@ -10,8 +10,9 @@ use crate::chat::{get_chat_msgs, ChatItem, ChatVisibility};
 use crate::chatlist::Chatlist;
 use crate::config::Config;
 use crate::constants::{DC_GCL_FOR_FORWARDING, DC_GCL_NO_SPECIALS};
+use crate::download::{DownloadState, MIN_DOWNLOAD_LIMIT};
 use crate::imap::prefetch_should_download;
-use crate::message::Message;
+use crate::message::{self, Message};
 use crate::test_utils::{get_chat_msg, TestContext, TestContextManager};
 
 #[tokio::test(flavor = "multi_thread", worker_threads = 2)]
@@ -3697,3 +3698,30 @@ async fn test_keep_member_list_if_possibly_nomember() -> Result<()> {
     assert!(is_contact_in_chat(&bob, bob_chat_id, bob_alice_contact).await?);
     Ok(())
 }
+
+#[tokio::test(flavor = "multi_thread", worker_threads = 2)]
+async fn test_download_later() -> Result<()> {
+    let mut tcm = TestContextManager::new();
+    let alice = tcm.alice().await;
+    alice.set_config(Config::DownloadLimit, Some("1")).await?;
+    assert_eq!(alice.download_limit().await?, Some(MIN_DOWNLOAD_LIMIT));
+
+    let bob = tcm.bob().await;
+    let bob_chat = bob.create_chat(&alice).await;
+    let text = String::from_utf8(vec![b'a'; MIN_DOWNLOAD_LIMIT as usize])?;
+    let sent_msg = bob.send_text(bob_chat.id, &text).await;
+    let msg = alice.recv_msg(&sent_msg).await;
+    assert_eq!(msg.download_state, DownloadState::Available);
+    assert_eq!(msg.state, MessageState::InFresh);
+
+    let hi_msg = tcm.send_recv(&bob, &alice, "hi").await;
+
+    alice.set_config(Config::DownloadLimit, None).await?;
+    let msg = alice.recv_msg(&sent_msg).await;
+    assert_eq!(msg.download_state, DownloadState::Done);
+    assert_eq!(msg.state, MessageState::InFresh);
+    assert_eq!(alice.get_last_msg_in(msg.chat_id).await.id, hi_msg.id);
+    assert!(msg.timestamp_sort <= hi_msg.timestamp_sort);
+
+    Ok(())
+}