England can retain the urn with victory in the third Test at Old Trafford over the next week after opening the series with wins at Trent Bridge and Lord's.
Australia are pondering changes for the next clash in Manchester, which begins on Thursday, with David Warner and Nathan Lyon possibly in line for recalls.
Yet Cork, who made 37 Test appearances between 1995 and 2002 without tasting an Ashes win, feels it would make little difference.
Cork, 41, told Press Association Sport: "They are still a proud nation and I expect them to push us a little bit but I still expect England to dominate and win the series.
"They could maybe bring back Warner but I don't see that making too many inroads into the England attack.
"James Anderson has been outstanding, they turned to Tim Bresnan and he did well.
"They've now brought Chris Tremlett in as well and with Graeme Swann and Monty Panesar - they could play two spinners.
"It doesn't matter which batsmen Australia bring in - they could bring them all back if they want, but they will still lose."
Victory in the series would be England's fourth in the last five Ashes meetings, a remarkable turnaround after a run of eight successive defeats.
With another series to follow in Australia this winter, Cork only expects that dominance to continue.
Cork said: "I never beat them once so it is nice to be a supporter now of a team that is dominating the Ashes.
"To all these people who feel sorry for Australia and say should we help them - no. Beat them 5-0 and beat them 5-0 over there."
Despite England's obvious superiority, Australia did run them close in the opening match at Trent Bridge and the hosts only prevailed by 14 runs in a thrilling finish.
Cork said: "England have been good but I think they could perhaps improve on their batting.
"They need to start getting first-innings runs on the board and put Australia under even more pressure.
"When you see Australians under pressure, throughout history, they tend to struggle.
"They are normally the ones who are dictating but they have not done it this series and they won't do it for the next three games.
"If England can get more first-innings runs they will dominate even more.
"They have the bowling line-up that can bowl Australia out twice."