Mick McCarthy's side look favourites to survive after a goalless home draw with Stoke moved them six points clear of the bottom three.
But Doyle is aware it could all change around very quickly even though Wolves appear to have a reasonable run-in with home games against Blackburn and Sunderland and away trips to Fulham and Portsmouth.
He said: "We have put ourselves in a very good position and in the last two months we've really turned the corner.
"We've got ourselves out of the bottom three and we are two wins away from being able to relax and enjoy it.
"It depends what the other teams do but if we just do our own job, get two wins, I am sure we will be fine.
"But Burnley's win over Hull was unexpected. It changes from week to week. It might give them confidence to go on a run so it is not over until it is over.
"If we lose, and one of the others below us win, then we are potentially only one game away from being back in the bottom three if results go the other way.
"We have to keep on our toes, keep training hard and if we do that, we will be fine. The good thing is our destiny is in our own hands."
Doyle is full of praise for the way Wolves coped with the long throws of Stoke midfielder Rory Delap - a total of 24 during the 90 minutes.
He said: "We defended excellently from their main threat in the game. From open play, they didn't create much but from the throw-ins and corners, they are very dangerous.
"We didn't make a massive deal of it because then you are on edge and nervous about the situation. You realise it is a string to their bow that you have to deal with it.
"We were organised, we practised it for 20 minutes, and everyone knew their jobs and the lads at the back were unbelievable. It was constant for the whole game and they had to keep concentrating.
"I think there were a few cut heads but it was brilliant the way we handled the situation."
One of the main players to deny Stoke was veteran defender Jody Craddock and Doyle believes he is capable of playing at the top level for the foreseeable future.
He showed typical determination in playing for three quarters of the game with his head bandaged after an aerial clash with Stoke defender Abdoulaye Faye.
Doyle said: "That was Jody's Craddock 500th game and it was probably his 500th split head as well! I hope I am still as fit and fresh looking as him after 500 games.
"He inspires people the way he keeps going. It is not even a case of keeping going. He is still as fit and fresh as ever. He is in the gym every day.
"When you see him, there is not an ounce of fat on him and he has as much muscle as anyone else here and he looks as fit when you do running. There are plenty of years left in him.
"The manager has offered him a new contract and he still looks capable of doing a job at this level.
"A big thing is experience and you could see that today when defending those sort of situations and I wouldn't like to be putting my head in there time after time.
"He is 34 and he can definitely play on for more than one more year with the condition he is in.
"Centre-halves also seem to get a few more years in than people in other positions so there is no problem there. He is as fit as he has ever been."