The midfielder made his Black Cats bow, having joined from Brighton in January transfer window, as Gus Poyet's side produced a shock 3-0 victory over rivals Newcastle as St James' Park.
A week later, Bridcutt endured defeat for the first time in Sunderland colours as lost 2-0 to Hull at the Stadium of Light.
Bridcutt admits his Wearside career has begun with a rollercoaster of emotions, but insists Sunderland never got carried away after beating the Magpies.
"It has definitely been two very different extremes," he told The Sun. "Last week, we knew it was a massive game for the club.
"It was a great performance and we played really well. But we did not get overexcited.
"Playing Hull was always going to be difficult, every game until the end of the season is going to be."
Defeat leaves Sunderland on the brink of the relegation zone, just one point clear of safety, but Bridcutt believes Poyet's side have the credentials to retain Premier League status.
"It just wasn't our day," he added. "All the boys were sat disappointed in the dressing room.
"We know we have made it a little bit harder for ourselves now. But we've top players who have bundles of experience. They know the Premier League inside out.
"We are in a fight but we know what it is going to take to get out of it. The manager will pick us back up."
Sunderland's afternoon suffered the worst possible start on Saturday with centre-back Wes Brown being shown a red card in the fourth minute.
Despite leaving his side with a personnel deficit, 24-year-old Bridcutt defended his teammate and asserts Brown is not the only one to blame.
"Wes had to make that challenge," he claimed. "He is an experienced player and a top player and he will bounce back from it easily.
"But after having a man sent off early, you are always going to be chasing the game.
"You have to try and make it as difficult as you can for them to score. And we weren't at our best at defending set-pieces and marking, we gave them two easy goals."
Reflecting on his move, Bridcutt admits he has had little time to bed into the Premier League but is relishing the opportunity of taking on Manchester City at the Etihad Stadium on Wednesday.
"The move happened quite sharply," he said. "I have been put straight in and given a lot of responsibility but I'm very happy here.
"I want to progress as much as I can. The only way I am going to do that is by playing against top sides and top players.
"On Wednesday night, I will be playing against some of the world's best players. It is a challenge I am looking forward to."
There is a 30-point gulf between the sides heading into the midweek clash but Bridcutt believes there is no reason to suggest Sunderland cannot take points from the third-placed side.
"If we stick to the basics, marking and defending in the way we van, I think we could possible get a good result there," he added.
"It will be a tough game but we are not going to lie down, we are going to come out fighting."