Trump and GOP lawmakers are hoping for a vote on tax reform early next week. Republicans can afford to lose two votes while counting on Pence to break a tie.
A recent poll shows Mike Pence is more popular among Hoosiers as vice president than he was as governor.
Pence is returning to Indiana for a family celebration.
Pence applauded the Ten Point Coalition's work, saying it can serve as a national model.
The Republican vice president has raised more than $1 million in recent months for his political committee.
In a statement, Pence said Sunday's story in The New York Times "is disgraceful and offensive to me, my family, and our entire team."
Republican Gov. Eric Holcomb's administration entered a one-year contract last month with Shelbyville firm McNeely Stephenson.
The Russia investigation appears to be reaching a broadening circle of current and former officials.
Indiana Gov. and vice president-elect Mike Pence, and those with ties to him, are likely to influence the next U.S. Department of Education.
Pence met with Governor-elect Eric Holcomb Monday to talk about the transition of leadership.