Budaj didn't accompany the Avalanche on their four-game road trip that begins Tuesday night in Edmonton. There's a chance Budaj could rejoin the team later in the trip if he's cleared by team doctors.
"We're always cautious," coach Joe Sacco said Friday. "With Peter, once he came down with those flu-like symptoms, we did the right thing by keeping him away."
The team said no other players have come down with the virus.
Budaj was scheduled to start his first game of the season last Friday against Carolina, but was scratched due to flu-like symptoms.
NHL deputy commissioner Bill Daly said the league has been monitoring swine flu.
"We have been regularly providing our clubs with updated information and recommendations as they become available," he said. "We have not mandated specific precautions or courses of action. The league is monitoring the progression of the flu, but have implemented no specific 'contingency plans' at this point in time. However, we will be prepared to do so should it become necessary."
Anderson has a team-record 11 starts to begin a season.
Information from The Associated Press was used in this report.