Different from the same-titled Rodgers & Hart and Rudolph Friml “Love Me Tonight” tunes, this was co-written by Bing Crosby, Victor Young and Ned Washington. See also the flipside, Olsen’s popular recording of “Say It Isn’t So” https://youtu.be/4CpvUxE6WpM
From 78rpm Victor 24124 - Love Me Tonight (Crosby-Washington-Young) by George Olsen and his Music, vocal by Paul Small, recorded in NYC September 2, 1932