General Manager Bobby Beathard said yesterday the Redskins probably will not attempt to sign linebacker Tom Cousineau, the highly regarded former Ohio State linebacker who will become a National Football League free agent Monday after his current Canadian Football League contract expires.

Despite owner Jack Kent Cooke's pledge to pursue available free agents such as Cousineau, Beathard said the Redskins would be deterred by Cousineau's asking price of $600,000 per season. Cousineau was drafted by Buffalo in 1979, but signed instead with the CFL's Montreal Alouettes. Buffalo holds the right of first refusal on any NFL contract offer given Cousineau.

"I don't think we will talk to Cousineau, although we probably will at least find out the details of what he is seeking," Beathard said. "Our people think Larry Kubin is going to be a heck of a linebacker and to go out and pay Cousineau $600,000 or whatever he wants, well, I don't think we'll be the team to do that."

Kubin, a sixth-round draft choice out of Penn State last year, sat out the 1981 season because of a bad knee. He is expected to challenge Neal Olkewicz for the starting middle linebacker job, unless the Redskins decide to switch to a 3-4 defense.

Washington still is expected to make a serious bid to sign Bruce Clark, the ex-Penn State defensive lineman who has been playing in Toronto. Clark can not be approached by NFL teams until after the April draft.

The Redskins' 1982 preseason schedule also was made available yesterday. Washington will play four games: Aug. 14 at Miami, Aug. 21 at Tampa Bay, Aug. 27 Buffalo in RFK Stadium and Sept. 5 at Cincinnati. The regular season will begin Sept. 12. The league has not announced that schedule.