Cannot open an InfoPath form; get "Not enough storage"

mikeyfev1 — Mon, 24 Oct 2011 17:51:26 GMT

When I attempt to open an InfoPath form saved on a Sharepoint 2010 server I sometimes get the messages:

Could not open *path-to-form.xsn"

and

The file *document-name* cannot be opened. Not enough storage is available to process this command.

Does anyone have any knowledge about what is wrong here and how I fix this? I have some forms that give this message on every open attempt.

InfoPath 2010