Arsenal lost 3-0 at Crystal Palace on Monday night to cede the advantage to their north London rivals Tottenham Hotspur.
Antonio Conte’s side currently sit fourth, on goal difference, with Arsenal fifth and West Ham United three points further back and also in the mix.
However, United – who are level on points with the Hammers - face Everton on Saturday in the lunchtime kick-off and could apply the pressure to those above us in the league with a positive result.
Arsenal host Brighton & Hove Albion and Spurs travel to Aston Villa later on Saturday, while West Ham are at in-form Brentford the following day, but O’Shea believes that focusing on ourselves is all the Reds can do for now, as we bid for a strong end to the campaign.