The Wales worldwide spent the previous season on loan with Huddersfield Town, where he helped the Yorkshire outfit win Premier League promotion.
"I would love to but I'm not sure the world is ready for such a insane decision", said Klopp sarcastically when asked if Ward would be involved, according to the Liverpool Echo.
He accepts, however, the decision to start Danny Ward - his third different goalkeeper in as many matches - may raise some eyebrows. "Danny Ward will play tomorrow".
Klopp has so far restricted the former Arsenal man to just 57 minutes across three substitute appearances - 45 of those in a damage-limitation exercise at Manchester City following Sadio Mane's red card.
Klopp dismissed suggestions Oxlade-Chamberlain's development had been stunted at Arsenal.
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"Since he's been here it's been hard to train on different things because it's game after game after game". It's really good that he's here.
"I think it would be unusual if I were to say something about a player after two-and-a-half weeks when Arsene Wenger worked together with him for six or seven years", Klopp added.
"He had a wonderful impact when he came on in the last game (Saturday's 1-1 draw v Burnley) so it was very good for him".
"But already at the weekend [against Burnley], he came on in a hard situation and he did really well".
And, that Jon Flanagan will be part of the squad for Liverpool at Leicester.
"He takes the situation like it is, he knows he played all the games for Arsenal from the beginning". However, Dejan Lovren, who missed the stalemate with Burnley with a back injury, is likely to miss out.
The striker knows he needs to be playing and scoring every week in order to catch head coach Gareth Southgate's eye and make a late bid to regain his England place in time for the World Cup finals next summer.