Ward has been pushing for the number one shirt at Liverpool for some time, but has often been overlooked.
Klopp reportedly felt that Ward returned from a loan spell at Huddersfield Town and had let his standards slip, in terms of his physical conditioning.
However, the German boss has seen a big improvement in the Liverpool goalkeeper this summer and is now prepared to hand him his chance.
Loris Karius made a howler in pre-season against Tranmere, which has heaped further pressure on the error-prone goalkeeper from the Anfield crowd.
Liverpool have been linked with signing a host of new number ones, but Klopp is reportedly reluctant to bring in a new goalkeeper this summer.
And Ward is believed to be next in line to be given his chance at Anfield, with Klopp impressed by his change in attitude in pre-season.