The Blades are yet to win a Premier League game since their promotion, losing four and claiming one draw, leading to suggestions that Heckingbottom's job is in trouble.
Chris Wilder has been linked with a return to Sheffield United, so Heckingbottom needs a win here.
They face a Newcastle side that are also yet to spark into life this term.
The Magpies have picked up six points from their opening five games but have looked sluggish in a few matches, while they try to juggle four competitions this year.
Sheffield United vs Newcastle: Date and how to follow
This Premier League clash is set to take place on Sunday, September 24.
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Kick-off at Bramall Lane is scheduled for 4:30pm.
The match will be broadcast on Sky Sports Main Event and Sky Sports Premier League, with their coverage to begin at 4pm.
Sky Go customers will be able to stream the match through their laptops or mobile devices.
Alternatively, fans can purchase a one-day NOW TV membership for £11.98 or a monthly one for £34.99 a month.
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talkSPORT will have updates throughout the afternoon and talkSPORT.com will have all the reaction.
To tune in to talkSPORT or talkSPORT 2 through the website, click HERE for the live stream.
You can also listen via the talkSPORT app, on DAB digital radio, through your smart speaker and on 1089 or 1053 AM.
Sheffield United vs Newcastle: Team news
The hosts have a lot of injury concerns to worry about.
Daniel Jebbison and Rhys Norrington-Davies remain out with long-term problems, with no return date in sight.
John Fleck, Rhian Brewster, Max Lowe, Ben Osborn, John Egan and George Baldock are also all injured.
Ollie McBurnie is suspended after picking up two yellow cards in the 2-1 defeat to Tottenham.
Meanwhile, Newcastle are likely to rotate with the games coming thick and fast.
Lewis Hall, Tino Livramento, Harvey Barnes, Elliot Anderson, Callum Wilson and Miguel Almiron are among the players pushing for a starting place.
But Joe Willock, Joelinton and Emil Krafth remain out.
Sheffield United vs Newcastle: What has been said?
Newcastle boss Eddie Howe has asked his squad to play with the same mindset as they did against Brentford.
He said: "It will be a difficult game.
"They're a good team, a direct team that will ask us questions physically. They have lots of areas that can hurt us if we're not right.
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"The big challenge for us is to approach the game like we did the Brentford match where we were spot on in our mindset."
Sheffield United vs Newcastle: Match facts
None of the eight Premier League meetings between Sheffield United and Newcastle have been drawn, with the Blades winning three of these (L5). Two of their three victories have come in home games, in April 1994 and January 2021.
Newcastle have won six of their last seven league games against Sheffield United, with the exception being a 1-0 loss on their last visit to Bramall Lane in January 2021.
Newcastle are unbeaten in their last 14 Premier League games against promoted sides (W7 D7) since a 2-1 home defeat to Leeds in January 2021. It's their longest such streak since a run of 15 between September 2002 and January 2005.
Sheffield United have just one point from their five Premier League games so far this season but have dropped five points thanks to goals conceded in or after the 88th minute. Indeed, they were leading seven minutes into injury time against Spurs last time out before losing 2-1.
Newcastle have lost both Premier League away games so far this season, just one fewer defeat than they suffered on the road in the whole of last season (W8 D8 L3). They last lost three in a row in April 2022.
Sheffield United have had fewer shots per game than any other Premier League side this season (8.2), while also facing more shots than anyone else in the division (114).
Sheffield United have played more long passes than any other Premier League side this season (303), with only Luton (19.7%) playing a higher share of their passes long than the Blades so far (19.6%).
Newcastle have lost their last eight Premier League away games immediately following a midweek match in Europe, with this their first such match since a 2-1 loss to Wigan in March 2013. Their last such win was a 2-0 victory at West Ham in September 2006.
No side has seen more cards issued than either Newcastle (17 yellows) or Sheffield United (16 yellows, 1 red) in the Premier League this season. Meanwhile, no side has drawn more cards from their opponents this season than Newcastle (16 yellows, 1 red).
Since the start of last season, only Erling Haaland (43) and Harry Kane (30) have scored more Premier League goals than Newcastle striker Callum Wilson (21).