New Jersey Generals running back Herschel Walker testified yesterday he has spoken with a representative of the NFL's Dallas Cowboys "over 10 times" since he has been under contract with the USFL team.

Testifying in the USFL's $1.32 billion antitrust suit aginst the National Football League, Walker told the court in New York he has spoken with Gil Brandt, the Cowboys' director of player personnel, and that, unsolicited, Brandt sent Walker a Cowboys jersey with his name and No. 34 on it.

Walker's contact with the Cowboys has been public knowledge. The 1982 Heisman Trophy winner was drafted by Dallas in the fifth round of the 1985 draft, the first year he would have been available to an NFL team.

Walker's direct examination by USFL attorney Harvey Myerson lasted only 15 minutes. Much of the time was spent displaying the jersey to the jury, and Walker praised Generals owner Donald Trump and speculated that the Generals could beat "the Giants and the Jets of the NFL ."

BASEBALL

John Schuerholz, general manager of the Kansas City Royals, met with a representative of Auburn's Bo Jackson yesterday and said he felt "encouraged" in his bid to sign the Heisman Trophy winner, who was taken by the Tampa Bay Buccaneers with the No. 1 selection in the NFL draft.

There were indications that if the Royals manage to sign Jackson, an outfielder, they would work with him privately for several weeks and then make an evaluation on whether to keep him at the major league level or to send him to the club's AAA affiliate in Omaha.

Richard Woods, Jackson's Alabama-based representative, denied he was using the Royals as leverage against the Buccaneers. "We had an excellent first meeting," he said. "The Royals have put together some extremely attractive and creative options for Bo."

COLLEGES

Louisiana State Coach Dale Brown says he wants to conduct international diplomacy from the basketball court, so he's going to Moscow in hopes of signing 7-foot-1 Soviet star Arvadis Sabonis to an athletic scholarship.

Brown is scheduled to leave for Moscow later this month on a recruiting trip set up by industrialist Armand Hammer and author Norman Vincent Peale.

Sabonis has only one year of college eligibility left because of an NCAA rule that says athletes without a college background lose a year of eligibility for every year of participation after the 20th birthday.

Sabonis is generally regarded as the best big man in amateur basketball.

The Atlanta Hawks drafted him last year, still hold his rights and are reportedly trying to negotiate a deal that would bring Sabonis into the NBA . . .

Chris Magno hit a two-run homer and second baseman Jose Trujillo had a hand in four double plays as Miami defeated Louisiana State, 4-3, in the College World Series in Omaha, Neb. The Hurricanes overcame three LSU home runs, two of them by Joey Belle.

The decision eliminated the second-ranked Tigers (55-14) from the tournament. Defending champion Miami, 49-16 and 2-1 in the double-elimination Series, will play Arizona today.

Earlier, in the conclusion of a game suspended in the fourth inning Wednesday by rain, Gordie Dillard's strong relief pitching and a seven-run burst in the fourth inning gave Oklahoma State (56-14) an 11-5 victory that eliminated Loyola Marymount (50-15) from the tournament . . .

Navy's freshman eight boat was the only one of the Midshipmen's seven entries to gain the grand finals of the Intercollegiate Rowing Championships that opened in Syracuse.

Navy's varsity eight shell was third in its heat behind Eastern Sprints champion Penn and Syracuse and will have to row today in a repechage in an effort to advance.

GOLF

Tom Sieckmann completed a 65 with a birdie on the last hole to tie Jay Haas for the first-round lead in the $600,000 Manufacturers Hanover Westchester Classic in Harrison, N.Y.

Bill Israelson was in second place with a 67 that included only 23 putts . . .

Juli Inkster shot a 4-under-par 68 to take a two-shot lead over five players after the first round of the $450,000 LPGA tournament at White Manor Country Club in Malvern, Pa. . . .

American Rick Hartmann shot a 6-under-par 66 to equal the course record and take a one-stroke lead over Severiano Ballesteros after the first round of the $300,000 British Masters tournament. Defending champion Lee Trevino shot 75 . . .

In Lytham St. Annes, England, Jack Nicklaus Jr. was eliminated in the fourth round of the British Amateur, beaten, 3 and 2, by Briton David Curry.

BASKETBALL

The majority owner of the Detroit Pistons is expected to move the NBA club to a proposed $43 million arena in Auburn Hills, Mich., and become part owner of the facility, according to a published report.

Owner William Davidson will hold a news conference today, during which he is expected to announce he will become part-owner of the 20,000-seat Auburn Hills Entertainment Center, the Oakland (Mich.) Press reported.

JURISPRUDENCE

In Amphissa, Greece, Wolfgang Kauwertz, a West German rally driver, was charged with killing a pregnant woman and injuring a motorcyclist in an accident during this week's Acropolis Rally.

Kauwertz was charged with involuntary manslaughter and causing bodily injuries, a spokesman for the district attorney's office said. The spokesman said Kauwertz was released pending trial in mid-September.

The accident occurred in the seaside resort of Itea Wednesday as Kauwertz and codriver Clauss Winkels were speeding between two special stages on the rally's final day. A police spokeswoman identified the dead woman as 20-year-old Loukia Metaxa.