The Boston Red Sox reportedly are offering outfielder Tony Armas to the Chicago White Sox for Tom Seaver, 41, who has won 304 games and three Cy Young awards.

Armas, 32, led the American League in home runs (43) and had 123 RBI in 1984. In 1985, he slumped to 23 homers and 64 RBI. Armas, who would play center field with Chicago, has a limited no-trade clause but he reportedly would agree to go to the White Sox.

He could look even better after going three for three with two RBI yesterday in leading the Red Sox' 8-6 exhibition victory over Montreal. Roger Clemens allowed three runs on six hits in six innings for the Red Sox.

If the Boston deal falls through, the New York Yankees are interested in Seaver. They need pitching help since Britt Burns, acquired during the offseason from Chicago, is out for the year with a hip problem. Burns was placed on the 60-day disabled list yesterday.

Over the weekend a specialist told Burns, who was 18-11 last season, that an operation would leave a 50-50 chance that he could pitch again. And even if he were able to pitch, the doctor told him he could re-injure the hip and possibly wind up needing a hip replacement.

The Yankees could be offering third baseman Mike Pagliarulo, who could help plug an infield defensive problem for Chicago.

"What you have to understand is that we believe Tom Seaver can help us win a pennant," Chicago General Manager Ken Harrelson said. "We know about Tom's wishes to be closer to his Greenwich, Conn., home , but he knows we have to think about the team's best interest." . . .

St. Louis Cardinals right-hander Danny Cox, 18-9 in 1985, suffered a bone chip in his right ankle Sunday. "I jumped off a sea wall in St. Petersburg, Fla. while I was going fishing and I didn't land right," said Cox, second in the Cardinals' starting rotation. "It's just a freak accident."

Team physician Dr. Stan London decided not to put Cox in a cast, but will reexamine him Wednesday. If Cox needs a cast then, he could be out two months . . .

The Philadelphia Phillies have decided not to complete the $100,000 purchase of Mexican League pitcher Jesus Rios. Rios used an assortment of off-speed pitches for a 21-4 record with the Mexico City Tigers last season but in his only exhibition game for the Phillies, he gave up two home runs, one a grand slam.

The Phillies paid $10,000 for the option on Rios. To complete the deal, they would have had to pay $100,000 more . . .

The St. Louis Cardinals traded catcher Tom Nieto, who hit .225 in his first full season in the major leagues in 1985, to the Montreal Expos for minor league infielder Fred Manrique. Nieto, 25, would have been the backup to Mike Heath this season. At Montreal, he will compete for the starting job with Mike Fitzgerald . . .

The Cincinnati Reds traded utility infielder Wayne Krenchicki to the Expos for left-handed minor league pitcher Norm Charlton. Krenchicki, 31, batted .272 in 90 games last season. TENNIS

Jimmy Connors paid a $20,000 fine and began a 10-week suspension yesterday, the Men's International Professional Tennis Council announced.

He will not be eligible for a sanctioned tournament until Queens Club, a grass-court Wimbledon warmup in London that begins June 9. He will miss the French Open.

The fine and suspension were levied after Connors, 33, was defaulted for refusing to continue a semifinal Feb. 21 against Ivan Lendl in the Lipton International Players Championships at Boca Raton, Fla. Another $5,000 was withheld from Connors' earnings from the Lipton tournament for failing to complete the match . . .

Lendl could be sidelined for three weeks because of a bone chip on his right kneecap. "It's something that's been bothering him a long time," said Jerry Solomon, Lendl's agent. Solomon said Lendl will see a doctor in Greenwich, Conn., today. BASKETBALL

Detroit Pistons Coach Chuck Daly agreed to a two-year contract extension, ending speculation he might leave after the season. Daly has coached the Pistons to a 140-109 record and three straight playoff berths. Sources said the contract will total $450,000 with added incentives . . .

Already missing all three of their centers, the Philadelphia 76ers got more bad news: guard Andrew Toney had surgery to reduce torsion of the spermatic cord, a team spokesman said, and will be sidelined the rest of the regular season. He will be examined later to determine his availability for the playoffs.

Toney, who has missed most of the season with stress fractures of his feet, was activated last week after he was threatened with suspension. He was unimpressive in his only appearance before reporting pain in his groin Sunday. COLLEGES

Center Grady Mateen, who quit the Georgetown basketball team because he wasn't getting enough playing time, says he'll soon announce where he'll transfer. He has indicated his choices are Ohio State, Akron, Michigan State, Duke, Kentucky, North Carolina or Clemson. He will sit out next season, then have two years of eligibility left.

"I just didn't see any future for myself at Georgetown," Mateen, a native of Akron, Ohio, told the Akron Beacon Journal. "I had met twice with Coach [John] Thompson about how I felt, and he told me that my time was coming. But I didn't want to wait until my senior year." . . .

Kansas Coach Larry Brown, 45, whose team lost in the NCAA basketball semifinals to Duke, will have an artificial ball and socket placed in his left hip in mid-April to repair a chronic injury he suffered more than 15 years ago when he was playing in the American Basketball Association . . .

Former Purdue assistant basketball coach Paul E. Curtis, 51, will be tried July 17 for felony theft, stemming from charges he shoplifted three pieces of clothing valued at $250. In a preliminary hearing in Elkhart County (Ind.) Court, Judge James Rieckhoff entered an innocent plea for Curtis. HIGH SCHOOLS

Gil Griffin of Sidwell Friends pitched a no-hitter as the Quakers beat Coolidge, 22-0, in a baseball game at Friends. Griffin, a senior right-hander, struck out 13 and walked one in the opening game for both teams. JURISPRUDENCE

A federal judge in San Diego ruled in favor of the Los Angeles Clippers in a $25 million lawsuit filed by the NBA contesting the franchise's 1984 move from San Diego to Los Angeles.

The NBA filed the suit in 1984, contending the franchise's relocation violated the league's constitution. The suit sought $25 million in damages from the Clippers and the Los Angeles Coliseum Commission. The Clippers and the Coliseum Commission filed a countersuit in March 1985 seeking $100 million in damages, claiming the league had conspired to terminate the franchise.

An official said the NBA will appeal.