He played as a forward for Videoton throughout the 1970s, becoming the club's second top scorer during the 1975–76 Nemzeti Bajnokság I.

He also briefly represented his home country of Hungary in 1975 during the EUFA Euro 1976 qualifiers.

Until 1968 he played for Erzsébeti VTK in Budapest throughout his youth career.

[1][3] Wollek would make his only appearance internationally during the EUFA Euro 1976 qualifiers match against Luxembourg on October 19, 1975.

[2] An annual children's football tournament at Kisfalud was held in his honor beginning in 2011.