Connacht's Lam will join this summer as the long-term replacement to former boss Andy Robinson, who was sacked in November, and will be assisted by Connacht backs coach Conor McPhillips.
Bakewell, who signed a two-year deal at Bristol in 2016, will work with them.
The New Zealander was previously Bath's forwards coach between 2006 and 2009.
"I've spoken to Pat," Bakewell told BBC Radio Bristol. "I'm here next season, so I'm really looking forward to that.
"At this stage, what I would love to be able to do for Pat and everyone is keep Bristol in the Premiership. That's our focus at the moment."
Bristol are bottom of the Premiership with five matches remaining, having won three of their 17 league games since returning to the top flight.
In February it was confirmed that Mark Tainton - interim head coach since Robinson's departure - is to become Bristol's chief operations officer at the end of the season, overseeing recruitment once Lam arrives.

Juan Jasso was told to "get back to Africa" after tackling the trio for using foul language on the Metrolink tram. Beer was also flicked at him.
Aaron Cauchi, 19, Robert Molloy, 20, and a boy, 16, had been "looking for trouble" when they abused Mr Jasso and two other people on 28 June.
Their abuse of Mr Jasso was filmed by a passenger and was widely viewed.
Joseph O'Connor, prosecuting at Manchester Magistrates' Court, said the racist attack came just five days after the EU referendum.
He said that this resulted in a 41% increase in hate crime, according to government statistics.
Trouble first began about 07:45 BST when a passenger heard "disgusting, vile abuse" on the tram packed with mothers with babies, schoolchildren and commuters, the court heard.
After the trio got off the tram following the confrontation with Mr Jasso, they surrounded Alistair Lambert, "with their chests stuck out and shoulders back, striking him with a cigarette lighter to intimidate him, said Mr O'Connor.
Shortly after, Andrew Guest was cycling to work when he passed the trio and one or more spat in his face and down his body, the court heard.
Cauchi, of no fixed address, was charged with two public order offences and assault over what happened on the tram, and two assaults later in Trafford.
Molloy, of no fixed address, was charged with racially aggravated assault, common assault and using threatening words or behaviour.
The 16-year-old boy, who cannot be named, was charged with using threatening words or behaviour and common assault.
They are due to be sentenced on Tuesday.

A member of the public found the dead bird of prey in the Millcroft area of Strathaven last Friday.
Specialist wildlife crime officers are attempting to establish how the bird died, and whether any crime has been committed.
Buzzards are scavengers which feed mainly on the remains of dead animals, making them particularly vulnerable to the illegal use of poisonous bait.
A post-mortem examination and toxicology tests will be carried out on the bird to determine its cause of death.
Bristol forwards coach Mark Bakewell has said he will stay on the club's coaching staff when Pat Lam joins as head coach at the end of the season.
[NEXT_CONCEPT]
Three young males who racially abused a US army veteran on a Manchester tram have admitted going on a "rampage".
[NEXT_CONCEPT]
Police are investigating the discovery of a dead buzzard in South Lanarkshire.