Defending the move, Business Minister Baroness Lloyd said the current system incentivised claimants to allege discrimination, as this allowed uncapped compensation.
"These types of claims are more complex and take longer for the tribunal to handle," she said.
"Therefore, by our removing the compensation cap for ordinary unfair dismissal claims, this incentive will be lessened, making it easier for tribunals to reach a judgement more quickly and decreasing burdens on the system."
She said the government had "worked collaboratively with employers and trade unions to find a compromise" and called on peers to allow the bill to progress so workers could benefit from the reforms without any further delay.
However, the Federation of Small Businesses has expressed reservations about the plan, warning that unlimited settlements "would be difficult and further gum up tribunals".
"That was not a concession discussed with us or agreed by us in the negotiations," added executive director Craig Beaumont.
TUC general secretary Paul Nowak said: "Continuing to vote down the Employment Rights Bill, a clear manifesto commitment, is undemocratic.
"This bill has been debated and scrutinised for months. Tory peers are actively defying the will of the British public and their own supporters who overwhelmingly support measures in this bill."