"Owen is very involved with the pregnancy," an insider told the magazine. "He isn't in a relationship with Caroline, nor do they plan to be in one, but he is very supportive of everything. They see each other and talk often about what they want for the child. Owen is very open-minded about everything and has told Caroline he will do whatever he can."
The baby's gender and anticipated due date were not disclosed.
Lindqvist, 41, is in the midst of divorcing her husband, a plastic surgeon, the report said.
Wilson also has a son Robert Ford, 2, with his ex-girlfriend Jade Duell.
2014: The Year in Music [PHOTOS]