The White House is considering naming a second womam to the Civil Aeronautics Board, administration sources said yesterday.

She is Gloria Schaffer, secretary of state of Connecticut, who has been active in that state's politics since 1958.

After serving in the Connecticut senate for six terms, she was elected secretary of state in 1970. Schaffer was state's leading vote-getter when she ran for reelection in 1974, wining by a larger margin than Gov. Ella Grasso and Sen. Abraham Ribicoff (D-Conn.). She was waged an unsucccessful campaign for the U.S. Senate against Sen. Lowell Weicker Jr. (R-Conn.) in the 1976 election.

Schaffer was out of the country and could not be reached for comment yesterday.

If nominated to the CAB, Schaffer would succeed G. Joseph Minetti, a Democrat who has been on the board for 22 years. Minetti reached the mandatory retiremnet age of 70 more than a year ago, but has received four presidential waivers to continue serving while the White House searched for his successor.The nomination of Donald L. Tucker, speaker of the Florida houses of representatives was pulled back last year after strong opposition to him developed in the Senate.

Sources said the White House is now considering whether to grant Minetti another waiver to serve past May 1, when his current extension expires.

President Carter also has another CAB seat - that of Lee R. West, who submitted his resignation several weeks ago.

Carter previously made two appointment to the board: Chairman Alferd E. Kahn and Elizabeth E. Bailey, who was the first woman named to the agency in its 40-year history.