Dr Evans was said to have told the jury that Letby had injected air down a nasal gastric tube of three babies, referred to as infants C, I and P.
Letby’s legal team said he had changed his mind and this meant all of her convictions should be reviewed.
But in response, Dr Evans said in a statement: “Mr Mark McDonald’s observations regarding my evidence is unsubstantiated, unfounded, inaccurate.
“His method of presenting his information reflects clear prejudice and bias.
“I cannot recall any KC advocating on behalf of a client via a press conference, especially a case of such sensitivity.
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“I find his style most unedifying, most unprofessional.
“It’s highly disrespectful to the families of babies murdered and harmed by Lucy Letby.
“The only place appropriate to deal with any potential appeal is the relevant court.
“If required, I would be pleased to give evidence in the usual way; on oath, subject to cross-examination, and where my evidence is placed in the public domain.
“I would expect any other participant to agree to the same principles.
“Anything disclosed through any other source is, as Lady Thirlwall put it so eloquently, just ‘noise’.”
In response, Mr McDonald said: “Dr Evans has written a new report on Baby C, 12 months after Lucy Letby was convicted, please can this be disclosed to the defence.
“This issue of reliability of any prosecution medical expert is now a matter for the Court of Appeal and Criminal Cases Review Commissions but certainly the disclosure of this new report may help them in deciding this question.”
Letby is serving 15 whole life terms in prison for the murder of seven babies and the attempted murder of seven others while working at the Countess of Chester Hospital in 2015 and 2016.
She attempted to challenge her convictions at the Court of Appeal twice this year, but lost both bids.
There is an ongoing public inquiry into how Letby was able to kill and carry on killing at the Countess of Chester Hospital.
Its findings are expected to be published in autumn next year.
Police are also continuing their investigation into Letby and the care of hundreds of other babies she looked after during her career.
Detectives have confirmed they interviewed the former nurse under caution in prison over more deaths and incidents in Chester and also at Liverpool Women’s Hospital, where she spent time on placement in 2012 and early 2015.