He played four seasons in the National Hockey League (NHL) for the St. Louis Blues, Los Angeles Kings, Chicago Blackhawks, and Philadelphia Flyers.

He then joined the St. Louis organization the next season but was sent back to Moose Jaw for further development, he later moved to the Prince Albert Raiders.

On February 27, 1996, Vopat, along with Craig Johnson, Patrice Tardif and two draft picks were traded from the St. Louis Blues to the Los Angeles Kings for Wayne Gretzky.

At the start of the 1999–2000, Vopat was sent to the Flyers' AHL affiliate, the Philadelphia Phantoms, which marked the end of his NHL career.

After just 12 games, he spent the rest of the season with the Essen Mosquitoes of the Deutsche Eishockey Liga in Germany.