"Tomorrow, the Supreme Court will deliver its judgement on the Presidential election petition. Because we are country that adheres to the law, we will equally respect the decision of the court," William Ruto said on Sunday in Nakuru.
"That is how we will be able to have an all-inclusive country. There is no bigger or lesser Kenyans, all Kenyans are equal before the law."
Outgoing vice president Ruto was proclaimed the victor by the Independent Electoral Commission (IEBC), about 233,000 votes (50.49 percent to 48.85 percent) ahead of Odinga, an opposition figure backed this year by incumbent Uhuru Kenyatta and his Jubilee party.
Odinga rejected the outcome and filed a petition at the top court alleging fraud in the tallying.
He asserted the IEBC's servers had been hacked to enter falsified results and that about 140,000 votes had not been counted.
Odinga's running mate Martha Karua said Friday that the pro-Odinga coalition would also respect Monday's decision.
"Our Constitution stipulates that if one is dissatisfied with the results, they have to seek legal redress and that is what we did," she said, according to The Nation daily.
"When the verdict is out, we all respect that. We want to maintain peace but for this to be achieved there must be justice because peace without justice is not sustainable."
During the last presidential election in 2017, the Supreme Court overturned the election and ordered a new vote, a first in Africa.
Elections in Kenya have repeatedly been sources of violence.
The deadliest, in 2007, left more than 1,100 people dead in politically motivated clashes and displaced hundreds of thousands.