The Manchester United manager has suffered defeats in his last two home games, with the Premier League champions stuttering down in ninth in the table after 15 matches
Moyes watched on as his side lost their second home game in four days on Saturday, with Yohan Cabaye's low strike in the second half securing all three points for Newcastle.
The result comes after United were beaten by the Scot's former side, Everton, in midweek, where a solitary Bryan Oviedo goal was enough for the Toffees to claim their first league win at Old Trafford since 1992.
After winning the Premier League title back from Manchester City in Sir Alex Ferguson's final season as manager, Moyes has thus far overseen a disappointing domestic campaign for the Red Devils, who are languishing down in ninth place in the table after 15 games.
Despite the dismal start that has seen league leaders Arsenal open up a 12-point gap ahead of United, Moyes is confident that his side will still be in the running come the end of the season.
He told BT Sport: "I stand firm that we'll be very close [to the title race]. It's the job; when I came here I knew it was never going to be easy."
Despite the Scot's defiance over the club's chances of success and his own position at Old Trafford, the majority of Goal readers who voted in our poll do not agree, with 62.8 per cent believing that Moyes's job should now be under threat.