Adams scored 11 goals in League One last season as the youngster was given increased opportunities in the first-team.
And despite quickly becoming a favourite with the fans, the star man's seemingly inevitable departure will not hit Sheffield United too hard.
Having played up-front alongside club-captain Billy Sharp, 20-year-old Adams was in the shadow of his mentor for the majority of the season. With a return of 20 goals in 39 league appearances, added to his vast experience of League One, Sharp would continue to be the vocal point of the attack.
However, 11 years younger than Sharp, Adams would be a sound investment for many clubs as his glowing potential has put several Championship sides on high-alert.
As yet, Birmingham City have been the only club to come in for the ex-Ilkeston Town forward and after increasing their initial offer of £1.2 million, a further bid of £1.7 million was rejected, reports the Sheffield Star.
Manager Chris Wilder is confident of keeping Adams at Bramall Lane, however his Birmingham City counterpart Gary Rowett remains optimistic that a deal can be concluded, despite interest from other clubs.
Speaking to the BBC West Midlands he said; "You can name six or seven teams in this division who, if they want a deal doing, can massively overpay to get that deal done."
Though the deal would come as a blow to United so close to the beginning of the season, it is important anyone affiliated with the club does not get too downhearted.
Primarily, £1.7 million is a substantial fee for any League One club to receive. Secondly, for a player who has only one year's experience of regular first-team football, it is a deal that Sheffield United should be pushing through.
Adams just scraped double figures last season and there are no guarantees that he will be able to produce in a higher division.
With his addition to the squad, Adams cannot be assured of a starting berth in Wilder's squad.
Therefore, while the offer is on the table, Sheffield United should take the money and run and look to invest in their squad as they challenge for a return to the second tier of English football, suggesting that the conclusion of a deal would be a good deal for all concerned.