Michelle Griglione of Alexandria and the Curl Swim Club won her fourth and fifth gold medals in the U.S. Short Course National Swimming Championships yesterday in Orlando, Fla.

Griglione won the 200-yard individual medley in 1:59.98, and teamed with Curl's Kelley Davies, Christine Smith and Jennie Sawyer to win the 400-yard freestyle relay in 3:21.18 in the third of four days of the competition.

Griglione, of T.C. Williams High, won the 200-yard butterfly Wednesday, and on Thursday won the 400 individual medley and anchored Curl's victorious 800-yard freestyle relay team.

Curl leads the women's team division with 343, followed by Foxcatcher of Philadelphia, 234. LOCALLY

Washington Capitals and Washington Bullets managements are seriously considering moving their games off WTOP-AM when the contracts between the teams and the radio station expire after this season, sources said.

WTOP, which has broadcast Capitals hockey since the team's inception in 1974 and Bullets basketball since 1975, made an offer to again carry both teams' games, but club officials are looking at alternatives.

"There's a good to excellent chance both clubs will be off WTOP by next season," a Capital Centre source said.

Capital Centre President Jerry Sachs said, "We should know something by the end of the playoffs." Michael Douglass, WTOP's station manager, would not comment.

WWDC-AM, which carried Bullets games the first two seasons after they moved from Baltimore, has shown interest in reacquiring the team's broadcasting rights. COLLEGES

Robert Thomas, a graduate of Theodore Roosevelt High School in the District, is one of two redshirt freshmen who were dismissed from the University of Miami football team, Coach Jimmy Johnson announced.

Scholarships for Tony Page, a wide receiver from Lawton, Okla., and Thomas, a running back, will be honored only through the end of the spring semester, the announcement said.

Johnson offered no explanation for the dismissals. Neither Page nor Thomas played for the Hurricanes last year. FOOTBALL

The Sullivan family has taken the New England Patriots, losers of the Super Bowl last season, off the market, according to a published report.

The Boston Globe reported that one interested buyer has backed away and another says he will continue to pursue a deal. The family reportedly hopes to solve its financial problems. Chuck Sullivan, vice president of the team and son of owner William Sullivan, lost money when he promoted the Michael Jackson Victory Tour two years ago and paid $18 million for the rights to merchandise Jackson for five years . . .

The New York Giants are interested in signing offensive lineman Gary Zimmerman of the defunct Los Angeles Express, but only if he is willing to accept their offer.

The Giants' NFL rights to Zimmerman, their first selection in the 1984 supplemental draft of U.S. Football League players, were upheld Thursday by U.S. District Court Judge Barrington Parker, who threw out Zimmerman's contention that the draft was illegal.

Giants General Manager George Young reportedly has offered $1.5 million over four years to Zimmerman. TENNIS

Second-seeded Jimmy Connors and unseeded Scott Davis advanced to the semifinals of the $315,000 Chicago Grand Prix tournament.

Davis needed 2 hours 42 minutes to defeat No. 6 seed Kevin Curren, 5-7, 7-6 (7-4), 6-4. Davis, ranked 42nd in the world, was the only unseeded player in the quarterfinals.

Connors defeated eighth-seeded Andres Gomez, 6-3, 6-1, in just over an hour.

The winner of the tournament at the University of Illinois-Chicago Pavilion will take home $50,000 . . .

The younger sister of tennis star Martina Navratilova has asked for political asylum in West Germany, a Cologne newspaper reported.

Jana Navratilova, 23, who like her sister is a native of Czechoslovakia, asked for asylum in Bonn, where she is living, the Cologne Express newspaper said.

Reached at her home in Fort Worth, Martina Navratilova said she was surprised by the report.

"She's been in West Germany, and as far as I know she's still there. She just wants to live there. I don't know anything about asylum." HIGH SCHOOLS

Melvin Johnson, the Oxon Hill High School boys basketball coach, has been suspended from coaching in Prince George's County for the 1986-87 season, and the Clippers have been forced to forfeit five games from this past season.

The ruling was handed down by the county's high school athletic association after it was determined that Oxon Hill had used a player who was ineligible because he did not meet the county's minimum requirement of a 2.0 grade-point average.