Taseff was drafted in the twenty-second round of the 1951 NFL Draft by the Cleveland Browns, who also selected Shula in the ninth round. Both men made the team and were the only two rookies on the roster that year. Taseff was used sparingly as a rusher and receiver on offense and an occasional kick return man, as the Browns finished the season with a 11—1 win-loss record and advanced to the 1951 NFL Championship Game, which they lost to the Los Angeles Rams. The Browns released Taseff on waivers prior to the regular season, but he went unclaimed and the team added him to the roster when halfback Don Phelps was injured.