The 33-year-old man suffered serious injuries when he lost control of his bike and clipped the kerb while cycling along the A58 Wetherby Road towards Bardsey on Saturday August 7 at 10.10am.
It is believed he swerved after a black saloon car passed him too closely, though the vehicle did not strike him.
The victim's wife, who did not wish to disclose their names, said her husband, from Seacroft, was left bleeding heavily after landing head first on a set of wrought-iron gates and was given first aid by the occupants of a nearby house. He was left with major lacerations, had to have an artery cauterised and fractured his eye socket and cheekbone. He is still having scans to determine the extent of damage to his jaw.
She added that he could have 'bled to death' without the couple's help.
West Yorkshire Police would like to speak to the driver of the black vehicle or anyone who witnessed the incident, and in particular anyone with CCTV or dashcam footage that may assist with the investigation.
Anyone with information is asked to contact PC Tom Walkin from the Roads Policing Team on 101 or via the website at www.westyorkshire.police.uk/101livechat quoting crime reference 13210400940.