Hodgson had apologised to anyone offended by the joke made at half-time during the 2-0 World Cup qualifying win over Poland at Wembley, but while Lord Herman Ouseley acknowledged the England manager's apology, he believes that it is essential to "ascertain the full facts".
The joke in question goes as follows:
“NASA decided they’d finally send a man up in a capsule after sending only monkeys in the earlier missions. They fire the man and the monkey into space. The intercom crackles, ‘Monkey, fire the retros.’
“A little later, ‘Monkey, check the solid fuel supply.’ Later still, ‘Monkey, check the life support systems for the man.’ The astronaut takes umbrage and radioes NASA, ‘When do I get to do something?’ NASA replies, ‘In 15 minutes – feed the monkey.’”
The idea was pretty clear: Hodgson was telling Chris Smalling shouldn't overcomplicate his job, but instead just keep giving the ball to Andros Townsend - who was clearly enjoying yet another good match - to do all the clever stuff.
However, reports in The Sun and Daily Mirror claim that "at one least one player was shocked" because he thought it carried racist undertones, which led to the Hodgson apology.
“I would like to apologise if any offence has been caused by what I said at half-time,” Hodgson said.
“There was absolutely no intention on my part to say anything inappropriate. I made this clear straight away to Andros in the dressing room.
“I also spoke to Andros again on Wednesday. He has assured me and the FA he did not take any offence, and understood the point I was making in the manner I intended.”
The furore surrounding the joke had prompted Townsend to take to twitter to play down the issue, calling it "not newsworthy" in a tweet on Thursday morning.
However, Kick It Out released a statement requesting a full investigation to ensure that a "similar situation does not arise again."
The statement said: "Kick It Out, football's equality and inclusion campaign, recognises and shares the concerns of the parties who felt mindful to bring the comments into the public domain.
"The matter has been raised by the chair, Lord Herman Ouseley, directly with the Football Association, who acknowledges the apology made by Roy Hodgson, and now seeks an investigation to ascertain the full facts and ensure a similar situation does not arise again."
The calls for an investigation was given further weight following an intervention from Paul Herbert's Race for Sport, who also demanded an investigation, according to the BBC's Dan Roan.
Peter Herbert's Race for Sport demands "immediate investigation by FA into comments by Roy Hodgson to Andros Townsend and Chris Smalling"
Kick It Out, who have been criticised in the past for not being hard-line in their response to previous race related incidents, made their request despite a groundswell of support across social media for the England manager earlier in the day.
Chief critic of the story was Stan Collymore, with the former England international stating that the leak - which reportedly came from a player - actually undermined the battle against racism:
Before adding that:
Martyn Ziegler, chief sports reporter at the Press Association, agreed with Collymore, terming the furore ‘infuriating’:
Those sentiments were also echoed by Wayne Rooney who termed the affair "ridiculous".
However, the decision of the unnamed player to leak the story to the press will surely raise questions over the togetherness of the squad – a point that was not lost on Collymore.