A Lake Placid Olympic official said yesterday he is concerned that if Congress fails to provide $11 million for the final construction phase of the 1980 Winter Olympic Games, the Games might be jeopardized.

A House Appropriations subcommittee already has approved diversion of the funds from Economic Development Administration projects, an action that makes House approval final since the previously appropriated money is being reprogrammed.

But the funding request has encountered opposition in a Senate Appropriations subcommittee, where members complained on Monday that the federal government has spent too much on the 1980 Games.

To date, the federal government has committed $71 million for the Games, including $22 million from the Bureau fo Prisons for the highly controversial athletes village that is to be converted into a youth-detention facility after the Games.

"Where is all this going to end? I'm an avid sports fan, but I cannot support this," said Sen. Dale Bumpers (D-Ark.) of the $11 million request. The subcommittee set no date for a vote.

Hal Williams, Economic Development Administration deputy administrator, said yesterday that the Lake Placid Olympic Organizing Committee originally had wanted an additional $13.6 million, but that the Carter administration settled on $11 million.

The Rev. J. Bernard Fell, president of the organizing committee, remarked yesterday, "I'm very concerned because it is apparent that without the reprogramming of funds we cannot complete our commitment to host the 13th Winter Olympic Games in the year that the Summer Games will be held in Moscow."

Many but not all of the facilities will be ready in July, Fell said. The problem is that, without the funds to build them, there will be no arena for opening and closing ceremonies, no seats for almost all events, a housing shortage, no scoreboard or time clocks, no first-aid stations and no parking.

"I suppose we could still hold the Games in the completed facilities and try to make other arrangements somewhere for housing and transportation," Fell siad. "But I don't know if the IOC (International Olympic Committee) would let us, and I think it would compromise security arrangements for the athletes."

Because the number of athletes and coaches will exceed the 2,000 that the (500 cell) village was designed for, as many as 800 new beds will be needed. Plans call for them to be placed in about 100 temporary homes at the site, a spokesman for the Lake Placid committee said. Fell said the cost would be about $4 million.

Three enclosed ice arenas have seating capacity for 9,120 persons total. But a total of almost 14,000 bleacher seats must still be constructed at sites for speed skating, biathlon, cross-country skiing, alpine skiing, and bob-sled and luge runs.

Additionally a 20,000-seat temporary stadium for opening and closing ceremonies has to be built. The stadium and seating areas will cost about $4 million, Fell said.

The remaining money would be used for such other items as parking lots, scoreboards and time clocks.

The federal government's initial share was $49 million for construction. Another $12 million was added to aid the Lake Placid committee in conducting the Games. When state, local and private contributions are tallied with the federal aid, the Winter Games may cost almost $150 million.

Inflation, the costs of meeting local and federal environmental requirements and other unexpected problems have pushed up the costs, Fell said.

"If you put the state, local and federal money together, it will be just under $150 million," he said. "It cost $250 million for Innsbruck, $450 million for Grenoble and $750 million when the Japanese had it."