United have won just once in the last 10 games on their travels, form that contrasts sharply to an unbeaten home run stretching back to September.
"We are in a good frame [of mind] in the dressing room at the moment," Abbott told BBC Radio Cumbria.
"The boys are happy and are comfortable with the points they have got."
Abbott added: "It is the confidence thing, and it is winning games and not losing games that breeds confidence."
The Cumbrians travel to MK Dons on Tuesday for another game against a club pushing for the League One play-offs.
Karl Robinson's Dons are nine points clear of Carlisle in the table, and have already taken three points from Abbott's side in September's 3-1 win at Brunton Park.
However United currently occupy the final play-off spot and are determined to make the most of the opportunity for promotion.
"We have half a chance haven't we?" Abbott continued.
"If we keep playing like we are and we keep the performance levels and the determination throughout the squad, we will keep upsetting people, and that is all we want to do."