After several seasons on the tour, Jonik reached the last 32 at the 1982 Professional Players Tournament, defeating Welshman Doug Mountjoy 5–3 in his last-64 match before being whitewashed 5–0 by Tony Meo.

Starting the 1983/1984 season ranked 45th, Jonik reached the final of the non-ranking Canadian Professional Championship that year, beating Bob Chaperon, Jim Wych and Cliff Thorburn to set up an encounter with Kirk Stevens.

In the 1984/1985 season, Jonik defeated Jack McLaughlin 6–2 in the British Open, facing the veteran John Spencer in the last 64.

Although Jonik came close to winning the third frame before a 61 break by Spencer, the three-time World Champion was consummate in beating him 6–0.

[2] Jonik's form in the following several seasons was poor; in the 1987 Classic, he overcame Steve James 5–4 and Tony Drago 5–2 before exiting at the last-64 stage, 4–5 to Barry West.