The goalkeeper was rumoured to be wanted by Championship new-comers West Brom to add competition to their squad, having already reruited Sam Johnstone from Man Utd earlier in the transfer window.
However, the player put pen to paper on a new three-year deal on Thursday to end the speculation that he would be heading to the Hawthorns.
Moore joined the 'Blades' from Cardiff City in 2016, after having spells at Brentford and Bristol City before that.
Since making a switch to south Yorkshire, he has gone on to make over 60 appearances for the Yorkshire club since then.
Manager Chris WIlder has managed to bring in 3 new players to the team so far in the window, alongside keeping Moore, despite off-field issues among the club's ownership providing issues as the club look to the new season in the Championship.