Washington Redskins owner Jack Kent Cooke said yesterday that he "fully expects" holdout running back John Riggins to sign a one-year contract Monday.

Riggins apparently is satisfied with the contract, which, according to sources, is worth slightly less than $1 million. He could not be reached at home for comment last night.

Although there has been no official agreement, Cooke said that negotiations "are proceeding beautifully. I expect no obstacles."

Cooke said he, too, expects to sign the contract Monday.

Riggins' attorney, Doug Woloshin, could not be reached for comment.

The earliest Riggins would be expected at the team's Carlisle, Pa., training camp would be late Monday.

Riggins, at 36 the oldest running back in the National Football League, had been asking for a one-year deal believed to be worth as much as $1.5 million, according to sources. On July 29, the Redskins offered him a contract of about $1 million, which he apparently rejected a few days later.

Riggins, who gained 1,239 yards last season despite back and hip problems, was the highest-paid Redskin the previous two seasons. His two-year guaranteed contract, which included substantial annuities and deferred payments, totaled $1.6 million for 1983 and 1984.

Thursday afternoon, Riggins was at Cooke's Middleburg, Va., estate, where Cooke gave him the Redskins' latest offer. They apparently spoke by telephone yesterday, and might not meet again until Monday.