The 74-year-old was hit while crossing Dewsbury Road, close to Lupset at around 6.15pm on Wednesday, October 28.
She was hit by a blue Volkswagen Transporter near the junction with Eden Avenue.
She died at the scene and has not yet been named by police.
Sgt Carole Greaves, of West Yorkshire Police’s Major Collisions Enquiries Team (MCET), said: “We are appealing for witnesses to this incident which has tragically resulted in the death of this woman.
“The lady was crossing the road with her dog when the collision took place.”
Police said the dog was not hurt in the incident.
Floral tributes were left at the scene of the accident on Thursday and dozens of people paid tribute to the woman on the Express Facebook page.
Samantha Williamson said: “Rest in peace. This lady was my neighbour for about four years.
“She was lovely and wished me all the best with my move to Sheffield.
“Dewsbury Road will not be the same without her.”
Chloe Louise Turton said: “Such a tragic way to go. She loved her dog to bits, I really feel for her pet and family.”
Anyone with any information should contact West Yorkshire Police’s MCET team by calling 101, quoting quote crime reference 13150439594.