The team’s inability to win games without Romo was the biggest reason for their 4-12 finish last season.
The Cowboys were 3-1 with Romo and 1-11 without him after he twice fractured his collarbone.
Moore was 0-2 as a starter in place of the injured Romo, throwing four touchdowns with six interceptions for 779 yards and a quarterback rating of 71.0.
Owner Jerry Jones understands the concerns on the outside, but said he believes in Moore.
“It’s a question of judgment,” Jones said Wednesday on KRLD/015.3 FM. “Don’t ever question whether I would be doing something before I would leave us naked at backup quarterback if I thought we didn’t have one.
“Moore has shown us he has inordinate instincts. Look at his won-loss at a high level in college (Boise State). He does, at the end of the day, many things that can’t be coached. He has a natural feel for getting the ball timely and an awareness of what is coming open. I feel we have a very good chance of having an outstanding backup quarterback to Romo.
“He really knows the offense well. Our coaches have tremendous confidence in him. The players do to. I can speak for them. So I feel good at backup quarterback.”