Carol Boardman, 75, was hit by Liam Rosney's Mitsubishi pick-up truck on a mini-roundabout in Connah's Quay, North Wales.
Rosney had been on the phone to his wife Victoria. The couple were both cleared of attempting to pervert the course of justice in July.
Mr Rosney had been due to stand trial but changed his plea to guilty as proceedings were set to start. He will be sentenced at a later date.
Network data showed four calls between Mr Rosney and his wife in the run-up to the July 2016 crash.
The last call was terminated four seconds before experts calculated Mrs Boardman was hit.
Mrs Boardman, a keen cyclist whose son Chris won gold at the 1992 Olympics, was run over by Rosney's car after falling from her bike and died later in hospital.
Witness Kayleigh Anders had previously told the court Mr Rosney at first did not seem to realise he had hit the pensioner.
She said: "He was looking left and then down, and then left and then down. I think he was on his phone."
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