Allardyce was handed a trip to his old club Bolton on August 11 but insisted he is not daunted by the prospect of such a swift return to the Reebok Stadium.
Asked how he reacted to the draw, Allardyce told Sky Sports News: "With a great big smile! It's sod's law, isn't it.
"It will be very interesting to go back to the Reebok Stadium and I look forward to it.
"I wasn't dreading it, I had nearly eight fantastic years there. They will be right up for trying to beat me so we'll see what we do when we get there.
"I would hope for a pretty good reception there after we finished the last four years seventh, eighth, sixth and eighth, qualifying for Europe twice. I think I left them in a very healthy and profitable state."
"At Newcastle we are hoping to build a side to start the season well. Bolton in the first game is a good start, then Villa at home, Middlesbrough, our local rivals, then I think to Wigan which is not too bad. So the start of the fixtures is reasonably good."
Sunderland chairman Quinn was delighted to be handed a "glamorous" opener at home to Tottenham.
The Black Cats, promoted in emphatic fashion after a thrilling post-Christmas run in the Championship last season, host Martin Jol's side on the weekend of August 11.
Their second game is a tough trip to fellow newcomers Birmingham at St Andrews on August 14 and Quinn admits the club is "buzzing".
He said: "It has probably woken us up out of the hibernation of the last month.
"Until the fixtures come out you don't get that excited but today the office is buzzing, from the tea ladies right through to myself, we're all looking at the fixtures.
"The Spurs one is very glamorous, a great team, and a game that will really make us feel we're back in the Premier League with such a glamorous club coming to play us at our stadium."
He continued: "Everyone knows we'd like to get off to a good start. With the run after Christmas last season, we'd love to carry on and keep that winning feeling.
"My hope is that by that point when the season starts, Roy Keane will be very happy and we've managed to sign the players he wants."
The first Tyne-Tees derby of the season pits the Black Cats against Newcastle at the Stadium of Light in November.
"Newcastle at home in November will be one the whole city will be looking at, it's a great one to look forward to," said Quinn.
"We're at home on Boxing Day to Manchester United which will be fantastic with Roy Keane against Sir Alex Ferguson."
Birmingham striker DJ Campbell admitted the Blues' opening fixture - away to Chelsea - could have been kinder but was excited nevertheless.
"It's going to be a tough one but every game in this league is tough. You have just got to look forward to it and I'm sure the boys will be," he said.
"Obviously we would prefer a lesser team at home to kick off but as long as we have a good pre-season, and take into the season the form from last season, I'm sure we will have a good shout."
Derby manager Davies, whose side host Portsmouth at Pride Park on the opening day, revealed he and his side are relishing the challenge of competing at a higher standard.
He said: "We now have to look forward to some very difficult matches against the teams ahead, we will do the very best we can.
"I don't think you have better teams in the Premier League. The point is that on paper you certainly have got the glamour games - we all know who the glamour teams are - but it will not be any easier against the rest of the teams because there are some real quality teams in there. We all know how high the standard is and we look forward to it."
Aston Villa skipper Gareth Barry is relishing the prospect of an opening-day showdown with Liverpool.
He said: "It's a really exciting opening fixture and I'm sure the fans will be really up for it and so will the players.
"We had a terrific atmosphere for the final home game of last season (Sheffield United) and hopefully we can see a lot more of that next season.
"Our results against the bigger teams haven't been too good in recent seasons but we drew at home to Liverpool and Chelsea last season so that's a start.
"If we could start with three points against one of the top sides in Europe that would be a massive early season boost for everyone at the club."