Pimek began at the age of six years with the sport of tennis. In 1982 he became a professional tennis player and was able to win his first doubles title on the ATP World Tour already in the following year. During his career he won a total of 17 ATP doubles titles, he also stood in 1996 on the side of Byron Talbot in the finals of the Rome Masters, but it lost to Byron Black and Grant Connell in two sets. In the individual he was less successful, his only title on the ATP Tour, he celebrated in Munich in 1984. In addition, he was able to win the 1989 individual title of the ATP Challenger tournament of Knokke. Its highest listing in the tennis world ranking he reached in 1985 with position 21 in the singles and in 1996 with position 15 in doubles.
His best individual result at a Grand Slam tournament was reaching the third round at the U.S. Open in 1987, where he defeated Mats Wilander. In the doubles competition, he reached in 1996 on the side of Byron Talbot the quarterfinals of the French Open. In mixed he stood twice in the quarter -finals of the French Open, 1991 Larisa Neiland and 1996 Katrina Adams.
Pimek played between 1983 and 1985 four single and two double batches for the Czechoslovak Davis Cup team, of which he won two singles and a double. 1989 Pimek, who is married to a Belgian, Belgian citizen was. In 1991 he went to the Belgian Davis Cup team. Until 1998, he played seven double roles, one of which he won two.