"There's some tightness in it but we'll give it a couple of days to see how it responds," said Kotsay, who suffered the strain in Saturday's game against the Mariners.
San Diego manager Bud Black said Sunday that the team has the benefit of giving Kotsay a few days off, as the Padres break camp Sunday and then play exhibition games Tuesday and Wednesday before the regular season begins on Thursday.
"Possibly it could," Black said when asked if Kotsay could begin the season on the disabled list. "We will see how it plays out. But the calf at times can be tricky based on players in the past who have had calf strains."
The Padres have until 2 p.m. PT on Wednesday to set their 25-man roster for Opening Day on Thursday against the Dodgers.
"We have a two- or three-day window to watch it and see how Mark does," Black said.
Kotsay hit .345 in 29 at-bats this spring.