Signing the former Manchester City striker would show some ambition.
Sunderland have been given hope they may be able to sign Roma striker Edin Dzeko, according to a report in the Chronicle, which mentions the Serie A side are looking to add Arkadiusz Milik to their ranks.
The former Manchester City striker has a decent goal-scoring pedigree, reaching the mid-teens in terms of his goal tally in all but one of his seasons in the Premier League, and he hit double figures while in Italy.
Sunderland as a club need to be without any relegation fears from the early stages of the season; flirting with relegation again just cannot be acceptable. There is a time on one occasion that they may not be so fortunate and another side puts that run of form together and the Black Cats miss out.
However, they have a manager in place who is experienced when it comes to getting sides to solidly perform in the Premier League, but signing a former Premier League winner would show some real ambition and purpose.
It would show that Sunderland are not content with season after season of trying to evade the relegation trap door, that they want to kick on and be a decent force in the top flight.
Adding more goals to the side is one way to do that. While Dzeko has shown he has an infuriating side to him in some of his attributes, he has a track record of scoring goals at the highest level and in some of the biggest games.
Some may question his age, but he provides a different option along with his pedigree. He is good in the air as well as on the deck and can offer a significant presence up front; something Allardyce's sides have had down the years. Dzeko could represent a better finisher than Allardyce has been accustomed to working with during his managerial career.