Hogan spent the latter half of this season at Bramall Lane, joining on loan from Villa in January.
It was the second time the Blades had tried to sign the striker. The Birmingham Mail reports a move was blocked by former Villans manager Steve Bruce during the summer.
During his eight matches for United in 2018/19, Hogan scored two goals. This lead the Daily Mail to report that they were considering making the 27-year-old’s switch permanent.
However, while that may still happen, the signing of Hogan is not a priority. Instead Blades boss Chris Wilder is concentrating on two others from the Championship.
Who else is on the wish list?
Brentford’s Neal Maupay and Swansea City ace Oli McBurnie are currently Wilder’s main targets.
The Sun (19 May, page 63) claims that both United and Brighton and Hove Albion are interested in landing McBurnie in a £12m deal.
There are fears Brighton could win the chase, though. McBurnie’s former Swans boss Graham Potter has just been named their new manager.
As a result, the Northern Echo says the Blades will “firm up interest” in another potential target. According to the newspaper, Middlesbrough forward Britt Assombalonga is actually preferred to Maupay.
If the South Yorkshire side miss out on McBurnie, they say Assombalonga will then be targeted.
Boro are open to selling the 26-year-old as well as they look to cut costs after once again missing out on promotion. Assombalonga is among their highest earners and could leave the Riverside if they receive close to the £15m they paid Nottingham Forest for the attacker back in 2017.