The Gunners are still locked in negotiations with Schalke as they try to broker an agreement for German starlet Draxler ahead of Friday's transfer deadline.
Arsene Wenger values Draxler at between 30 and 35 million euros, while Schalke values the 20-year-old at 45 million - the release clause figure inserted in the five-year contract signed by Draxler last summer.
With the transfer window due to close on Friday, Gunners boss Wenger has a backup plan in place, which involves signing either Klose from Lazio or Morata from Real Madrid until the end of the season. Goal has learned that Klose is the more likely of the pair to arrive at Emirates Stadium.
Klose is 35 but is expected to be in the Germany squad at this summer's World Cup and remains a regular scorer for club and country.
Morata, 21, is at the other end of the age scale but is only on the fringes of the Madrid team and Los Blancos might consider a half-season in England a valuable learning experience for the Spain Under-21 international.
While the Gunners are still hopeful of pushing through the Draxler deal before Friday’s deadline, Schalke chief Horst Heldt has publicly claimed that he is "very sure" that the forward will remain with the German outfit for this season - and "probably even longer".
The north London club is also attempting to sign a midfielder before the window shuts. The Gunners have made an enquiry for Southampton's Morgan Schneiderlin after learning that Blaise Matuidi is set to sign a contract extension with Paris Saint-Germain.