(Toni L. Sandys/The Washington Post)

NEW YORK — Kyle Shanahan and the Cleveland Browns are expected to complete a deal next week for him to be the team’s offensive coordinator, according to two people familiar with the situation.

The two sides were working to apply the finishing touches to an agreement, the people said Saturday, speaking on the condition of anonymity because the team had not announced the move.

Shanahan was said to be on vacation and was not available to comment.

A Browns spokesperson told the Cleveland Plain Dealer that no decision had been made. But the people with knowledge of the matter said that while Shanahan’s contract is not yet completed and last-minute snags are always possible, they expected the deal to be done in the coming days.

Shanahan is set to land an offensive coordinator job after being fired from that position by the Washington Redskins. He and his father Mike, the team’s head coach for four seasons, were dismissed by the Redskins following a 3-13 season.

Kyle Shanahan was the offensive coordinator for the Houston Texans before working for his father for four seasons with the Redskins.
He helped Redskins quarterback Robert Griffin III to be named the NFL’s offensive rookie of the year in the 2012 season. But Griffin, returning from offseason knee surgery, failed to duplicate his rookie-year exploits this season and his relationship with both Shanahans came under intense scrutiny. Mike Shanahan ended Griffin’s season with three games left, saying he wanted to prevent the quarterback from getting hurt again.

Kyle Shanahan interviewed for offensive coordinator jobs in Miami and Baltimore this offseason but was passed over by both teams. In Cleveland, he will work for newly hired head coach Mike Pettine, formerly the defensive coordinator of the Buffalo Bills.

Shanahan’s hiring in Cleveland could increase speculation that the Browns could attempt to trade for Redskins backup quarterback Kirk Cousins.

The Browns also have the fourth overall selection in this year’s NFL draft and could use it to choose a quarterback. Some draft conjecture has linked them to former Heisman Trophy winner Johnny Maziel of Texas A&M. Using such an early draft pick for a quarterback might lessen the chances of the team pursuing a trade for Cousins.