The Reds are unbeaten at home since the opening day of the season and picked up a routine victory on Boxing Day against Newcastle.
Louis van Gaal had to wait until November 22 for his first win on the road, a 2-1 triumph over Arsenal.
Since then the Reds have won at Southampton but could only draw at Villa Park last week.
With away games against Spurs on Sunday and Stoke on New Year's Day, Carrick believes coming through both games would suggest the team can keep up the pursuit of the top two in the league.
"The signs have been good in recent weeks," the midfielder told United's website.
"We were bitterly disappointed not to win last week [at Aston Villa] but we beat Newcastle and now have two big away games. They will be a good test for us to see where we are at.