Moyes described the first half as the best football of his reign, which began in November.
Turkish giants Besiktas are favourites to snap up the unwanted striker in a deal that will cost West Ham a £8.5million loss. His replacement, Javier Hernandez had barely touched the ball before Bournemouth took the lead a few minutes later.
The ex-Manchester United star has been used mainly as a sub and is struggling to impress the Scotsman, much like he did when they worked together at Old Trafford. The sort of goal he got today might be typical.
The Hammers' undefeated sequence began with a 3-3 Boxing Day draw at Bournemouth, who were the opponents in a 1-1 draw at the London Stadium on Saturday.
West Ham are 11th spot in the Premier League, five points above the relegation zone and Moyes wants to bring in some quality additions before the transfer window closes to help his side secure survival.
And so it was that both sides had to settle for a point each, which was probably just about right on the day - if slightly disappointing perhaps from a West Ham perspective, if only as a outcome of the injustice that occurred in the highly-controversial, corresponding fixture last month.
West Ham boss David Moyes has claimed that the Hammers won't be selling any of their players this winter - and while he addressed reports over the future of Javier Hernandez after the forward scored in their game this weekend, he also spoke about Chelsea target Andy Carroll. There was another concern as Manuel Lanzini went off with a suspected hamstring injury, having played the whole 120 minutes against Shrewsbury on Tuesday night.
Booked: Collins (31), Masuaku (49), Ogbonna (58).