"These are two very important deals because they are about safeguarding the future of this football club. Stevie and Jamie both wanted to stay at the club. They have a passion for this club and you can see that in the way they play. They are 100% committed to Liverpool and now they can be 100% focussed on their futures at Anfield," the Reds boss told the club's official website.
"I think these deals send out a key message as we enter a crucial period. Other players will look at Stevie and Carra committing their future to Liverpool and understand that this means we are determined to progress on the pitch.
"When we talk to players we'd like to sign for this club, we can point to the fact that they will be playing alongside the likes of Stevie and Carra. Now these two deals are complete, we need to continue working on bringing in new players and keeping the ones we already have."