That is according to former MK Dons manager Karl Robinson and ex-Crystal Palace owner Simon Jordan, who believe the new rules in place surrounding dissent could land the Dutch defender in hot water.
The Liverpool captain was sent off after being adjudged to have fouled Alexander Isak as the last man during a dramatic 2-1 win at St James' Park.
Having already gone a goal down, Van Dijk was furious with referee John Brooks for the decision and needed to be ushered away by Klopp after making his way off the pitch.
And while Liverpool came back to win in incredible circumstances due to two late Darwin Nunez goals, more bad news for Van Dijk, who as things stand will miss one match, on the way.
Speaking on talkSPORT's White and Jordan Show, Jim White said: "Could it get worse before it gets better for [Van Dijk]? Because of this stamping out of abuse to referees.
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"He is banned for one game, and it looks like it might be more because of what he gave to John Brooks in the face verbally."
Former Oxford United boss and Liverpool fan Robinson replied: "I think it has to. I am a little hypocritical because I would have done the same.
"You have an obligation with the world watching to accept your punishment, whether it was right or wrong.
"I can see more games being put on top of the suspension."
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Jordan also chimed in and mentioned how Alexis Mac Allister had a red card rescinded last week and how if that is possible, the reverse must also be allowed.
He added: "The only difference I can see historically when you're sent off is there is no debate because nobody is giving you a second check.
"In this instance, what happens is there is this pause. Almost like you are waiting for a delaying of the execution and ultimately, VAR intervening to make sure that the sending off was legitimate.
"So you have got that moment in time where you are stood on the pitch, which led itself in this instance to Virgil van Dijk thinking he has the right to say something.
"If there are going to be retrospective adjustments for sending-offs, as there was last week with Alexis Mac Allister, there has to be retrospective consequences for people that behave on the pitch as he chose to behave.
"And he may well reap the whirlwind for it."
Van Dijk is already set to miss Liverpool's next game in the Premier League through suspension, against Aston Villa on Sunday at Anfield.
Whether the 32-year-old misses subsequent matches against Wolves and West Ham remains to be seen but Jurgen Klopp will hope that is not the case, with his side already facing a potential Mohamed Salah exit.