Speaking at full-time, Borthwick said: "I'm pleased with the win, the attitude of the players and character of the players showed which was brilliant.
"We made too many mistakes but we'll learn from that.
"There is a couple of things we can change away ... which will put less pressure on ourselves.
"We are going to have to be much better next week."
In the first away match in a venue able to host a capacity crowd since taking over the role as Head Coach, Borthwick was pleased to see supporters from both sides enjoying the fixture.
"It's great to see supporters back, I think everyone enjoyed themselves; the game and contest ... it was a good atmosphere tonight."
Looking ahead to next week, he added: "Clearly, we are going to have to go up a couple of levels next week against a quality side like Saracens."