The Liverpool Echo report that Matos, 31, is set to be confirmed in a role which will smooth the transition from the academy to the first-team by the end of the week.
He'll effectively be replacing Pep Lijnders in the position, with the Dutchman having been promoted to Klopp's assistant following the sudden and surprise departure of his long-time previous No.2 Zeljko Buvac shortly before the 2018 Champions League final defeat to Real Madrid.
Lijnders is extremely highly-rated at Melwood, and led the preparations for last week's Carabao Cup third round clash at MK Dons, a 2-0 victory , while Klopp was away in Milan receiving his FIFA Best Men's Coach of the Year award.