Mr Schiff made the dramatic comment during an interview on ABC’s ‘This Week’ show.
He claimed: “I think we can see where this is headed.
“Ultimately, the President is going to accept the Crown Prince’s denials.”
He added: “It’s hard for me to imagine those orders would have been carried out without the knowledge of the Crown Prince”.
Mr Khashoggi was killed during a visit to the Saudi Arabian consulate in Istanbul on October 2.
Initially, Saudi authorities denied any knowledge of his fate, but later claimed he had been killed during a fist fight in the building.
However, according to multiple media reports, Mr Khashoggi was tortured, murdered and dismembered by a 15-strong Saudi hit squad.
There is widespread speculation about the possible role of Mohammad Bin Salman, Crown Prince of Saudi Arabia and the second most powerful figure in the kingdom.
Mr Schiff added: “We’re never going to know exactly what took place in terms of the Crown Prince’s marching orders for the group unless we get a confession from the Crown Prince, which is not going to happen.
“It’s for that reason, I think, that the President is going to accept the Crown Prince’s denials much as he has accepted Vladimir Putin’s denials and Kim Jong-un’s denials.”
President Trump has a warm relationship with Crown Prince Mohammad Bin Salman, claiming the two men had become “very good friends” during an official visit by the top Saudi in March.
Since the killing, Trump has made comments which appear to both support and undermine the Saudi position.
On Saturday, he said: “Obviously there’s been deception and there’s been lies.”
However, earlier in the week he downplayed official Saudi involvement saying: “I don’t want to get into his mind, but it sounded to me like maybe these could have been rogue killers.”
A number of other senior congressmen and women have criticised the official Saudi position.
Newt Gingrich, former House Speaker, described it as “insultingly stupid” whilst Kentucky Senator Rand Paul claimed the Saudi explanation “stretches credulity”.