Is there a fix date for Mavericks mail not being able to get new mail from IMAP servers, like Gmail?

I use IMAP servers and have no such problem. Maybe yours is a Gmail problem.

Sorry, I didn't quite get that from your original post. I did see that happen on my computer, but it stopped, I think, after installing 10.9.4. You might try downloading and installing OS X Mavericks 10.9.4 Update (Combo).

What Kappy was trying to point you to is called the COMBO updater. It includes all previous updates. It is often a solution to a wide variety of issues - that apparently occur from corrupted updates.

I recently had an issue (after an update) where Time Machine wouldn't recognize my backup drive - fixed with COMBO updater!

It would be best to start with a description of the problem.

It's detailed in the link the OP provided. I had the same problem for a time.

I was hoping somebody new when Apple would be fixing this.

Thanks

Nobody here would know at all.

Not everybody suffers from the problem, so it isn’t likely easy to identify the problem.

The key point is where it says "for some e-mail providers".

If there is an imminent fix, you could find out by joining the Yosemite Public Beta.

Unfortunately, you may be dealing with more than one problem. I'm certainly no fan of Mavericks Mail. It has all kinds of bugs. But, if you wait long enough, and maybe pass the time by responding to e-mail on your iPad or iPhone, Mavericks will, eventually, check your mail. It may lock up afterwards. And you will likely have to force quit it. But there is no widespread bug where it won't check IMAP accounts. You cannot discount the possibility that there is something wrong on the server side.

But to get to my first point, none of the "big cats", nor Mavericks, will likely every see any more bug fixes. They are done. Now, or later, Yosemite is your only option if you want to stay with the Mac.

I feel that your real problem is related to the way apple does their mail client. It is related to the fact that mail does NOT disconnect from the server when checking imap mail. Thus it causes many imap processes to exist on the server. Many providers then kill the open processes after a time, thus causing the hangs to your system because it is trying to communicate with a process on the mail server that no longer exists. This problem has been around for about 7 years that I know about and apple refuses to fix it because it is so nested in their system. If apple mail would just disconnect from the server after checking for messages, etc and only use one connection to do so instead of 4, then the mail servers would be very happy and never kill an apple mail process, thus stopping the hanging and mail server overloads. (I have seen this from a tech support perspective in wondering why ONLY the mac mail readers would have issues and cause the mail server to be overloaded.)

Please let apple know in your beta testing to look at that part of what they are doing. It is a long standing issue.

Very nice synopsis!