The Clarets were reportedly offered £4m from the newly-promoted Championship side for the services of Rodriguez, 22, and Fox, 25.
Despite the interest surrounding the duo, Howe has refused to rule them out of a move to St Mary’s.
"I don't know anything about it. It's not ideal,” Howe told the Lancashire Telegraph.
Both players started for the Clarets in the 2-2 draw with Watford in their opening Championship fixture on Saturday.