The 25-year-old left-armer earned his breakthrough on the back of strong performances for Australia A and after Hauritz went home with a foot problem, further depleting the tourists' bowling stocks.
"Stephen has performed strongly in the recent Australia A series against Sri Lanka A in Queensland and is a good young all-round cricketer who deserves his chance," said selectors' chairman Andrew Hilditch.
O'Keefe joins the tour, moved from extremism-wracked Pakistan for security reasons, for two Twenty20 matches and two Tests starting next Monday. Australia are already 3-0 down in their ongoing five-match one-day series with England.
Just R20 for the first month. Support independent journalism by subscribing to our digital news package.