Former Giants sack master Michael Strahan is on the verge of tackling a new job — co-host of ABC’s “Good Morning America.” Strahan, 42, was hammering out the final details of a contract that would make him a permanent member of the breakfast show’s crew, a source with knowledge of the deal told the Daily News Tuesday. “They’re on the verge of signing the deal,” the source said. “It could be announced this week.” Under the arrangement in the works, Strahan would do double duty at ABC, keeping his gig as co-host of “Live with Kelly & Michael.” The source said the deal has been in the works for months and has nothing to do with the sudden departure of Josh Elliott from “Good Morning America.” Elliott blindsided his ABC bosses Sunday night by quitting via email. He decided to jump ship to NBC Sports. Strahan will join the cast that features Elliott’s replacement, Amy Robach, a former correspondent who is battling breast cancer, and veteran GMA vet Robin Roberts, who recently inked an $18 million annual contract. ABC brass had been wooing Strahan to join the show since he substituted for Roberts on the show last year when she was out on sick leave. Roberts waged a public battle with myelodysplastic syndrome, a disease of the blood and bone marrow. “They’ve been in love with him since he subbed for Robin,” the source said.