There is a new location for the Westwood Farmers' Market, at the Veterans' Administration, just west of the 405 and north of Wilshire Blvd. To get there, you go along Sepulveda to Constitution Drive and go west, then a quarter mile, then turn right. There's lots of free parking. I went there on Thursday, which was the first day. Here is the URL for it:
I arrived shortly after it opened at 1pm (I believe it runs until 7pm), so all of the farmers may not have arrived yet. It seemed distinctly less populated than it had been when it was located in Westwood Village. There were maybe twenty farmers and almost no customers. There were some very excellent squashes for sale, that was the main thing. Some other things seemed okay as well. I probably won't go back, but if you're driving through that part of town then it's probably much easier than parking in the Village.