The 25-year-old Ghana defender, who arrived from League Two side Barnet in May 2016, was left out of Saturday's home defeat by Ipswich having started their two previous games.
Heckingbottom said talks with Premier League newcomers are ongoing.
"In my eyes I don't have Yids until I'm told different," he said.
Talking to BBC Radio Sheffield, Heckingbottom added: "It wasn't right for me to involve Yids in the game on Saturday and if it is still the same, it won't be Tuesday because it is not fair on the other players.
"We are all preparing for our game and obviously Yids is in limbo at the minute.
"Until it is resolved one way or another and I'm told, I'm not considering him."
Heckingbottom added that negotiations for the player, who made 33 appearances for the Championship club last season, "can't go much longer" and that he "expects" Yiadom's future to be known by Thursday.
"I'm not thinking about it until after the game on Tuesday," he said.

A spokesman said the new estimate was based on a review of intelligence reports from May to August.
IS has seized vast swathes of Iraq and beheaded several hostages in recent months, leading to US airstrikes.
US Secretary of State John Kerry is visiting Turkey, seeking more support for action against IS.
US officials say retired Gen John Allen will be tasked with forming an international coalition to fight IS.
On Thursday, 10 Arab countries agreed to help the US attack the group in both Iraq and Syria.
The CIA had previously believed that IS had about 10,000 fighters, spokesman Ryan Trapani said.
"This new total reflects an increase in members because of stronger recruitment since June following battlefield successes and the declaration of a caliphate, greater battlefield activity, and additional intelligence," he added.
The revision comes a day after President Obama outlined a plan to "degrade and destroy" IS and to increase military support for allied forces engaged in fighting the group.
For the first time, he authorised air strikes against the group in Syria.
In recent months IS has expanded from its stronghold in eastern Syria and seized control of more towns, cities, army bases and weaponry in Iraq.
The US has already carried out more than 150 air strikes against IS in Iraq. It has also sent hundreds of military advisers to assist Iraqi government and Kurdish forces, but has ruled out sending ground troops.
Other countries, including the UK, have contributed humanitarian assistance to Iraqis displaced by the group's advance.
Mr John Kerry secured the co-operation of several Arab countries during a meeting in Jeddah, Saudi Arabia on Thursday.
Nato member Turkey, however, refused to sign a communique calling for countries to join the US in the fight against IS.
Analysts say this may be because the group currently holds 49 Turkish citizens, including diplomats.
Mr Kerry downplayed the move, saying the important US ally was dealing with some "sensitive issues".
He is due to travel to Turkey on Friday to try to secure more co-operation from the government.

The claim: Boris Johnson says the European Union will only allow bananas to be sold in bunches of two or three.
Reality Check verdict: There is no such rule - we popped out and bought a bunch of five without difficulty.
A member of the tireless Reality Check team nipped off to a local shop to check this claim.
It was touch-and-go for a bit, as the self checkout said there was a problem with buying five bananas, but it turned out not to be a problem with EU regulations, and eventually the transaction was allowed.
We've been in touch with Vote Leave, who pointed us towards this directive from 2011. It goes into considerable detail about how unripe bananas should be presented by wholesalers, but nowhere does it say that you are not allowed to sell bunches with more than two or three bananas in them.
If you are a wholesaler, you are not allowed to pack bananas in bunches of two or three - they have to either be single bananas or bunches of four or more. But that doesn't affect retailers, who can sell bunches of any size they like.
Read more: The facts behind claims in the EU debate
Barnsley boss Paul Heckingbottom says Huddersfield Town target Andy Yiadom will not be considered for selection while he is "in limbo".
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The CIA says the Islamic State (IS) militant group may have up to 31,000 fighters in Iraq and Syria - three times as many as previously feared.
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Addressing a crowd in Stafford, Boris Johnson said: "It is absurd we are told that you cannot sell bananas in bunches of more than two or three bananas."