The German has been installed as No. 1 at Anfield ahead of Simon Mignolet over the last month.
Liverpool continue to be linked with the likes of Stoke’s Jack Butland, Atletico Madrid’s Jan Oblak and Roma’s Allison but with the position now Karius’s to lose he is intent on not giving Klopp a decision to make.
“If you read the press as a Liverpool player then every week we would have five new signings in every position,” he said.
“You can’t go crazy about the speculation. When I look at the training, I think we do have good quality already with the keepers.
“I think we’ve been a bit unlucky at times. Often you don’t have much to do.
“Then if you don’t do something 100 percent right it weighs a lot heavier than for other goalies at smaller clubs who have several more saves to make in a game.
“That’s life at a big club like Liverpool and you have to deal with it. I just want to present myself well and then I’ll have the chance to play at this club for the next season as well.
“That’s the challenge facing me personally. I also want to help this team achieve as much as we can.
“As well as the top four, we still have the Champions League. We want to go forward in that and why not win it?”
In his five matches since being confirmed as No. 1 Karius has not escaped criticism.
Some apportioned blame for his punch which led to Victor Wanyama’s spectacular equaliser in the 2-2 draw with Tottenham at Anfield on Sunday, while he was beaten at his near post by Leroy Sane in the victory over Man City.
With equally big tests ahead—the Champions League restarts at Porto next Wednesday—Karius is unconcerned.
“Maybe I could have done better against Man City. I didn’t see it as a massive mistake because [Leroy Sane] hit it quite well,” he added.
“In other games I haven’t had too much to do. I’ve come for crosses and collected them. At Swansea [Alfie Mawson] put it right in the corner and there wasn’t much I could do.
“You can’t get frustrated as you know there will be games when the team needs you more and you have to be there.
“I wasn’t begging in the other games: ‘Please, please, I need a save.’ I knew it would come. I had more to do against Tottenham and I tried to help the team.
“My head is right. I feel like I’ve learned a lot from last season and I feel good.”