A number of allegations have been made, including by former England 2018 bid leader Lord Triesman, plus claims about 2022 hosts Qatar who have always denied any wrongdoing.
Russia was awarded the 2018 tournament.
Ethics investigator Michael J Garcia has previously said he would look into the claims and this was reiterated on Thursday.
He said in a statement: "As has been publicly announced, certain allegations regarding events surrounding the bidding for the World Cup 2018 and 2022 were referred to the ethics committee by FIFA following media reports.
"We intend to conduct a thorough review of those allegations, including the evidentiary basis for and credibility of any allegations of individual misconduct."
The ethics committee will also report in March on its investigation into the payment of kickbacks to FIFA members by now-defunct marketing partner ISL.
A new whistleblower hotline is expected to become operational next month.
Italy head coach Cesare Prandelli has also reaffirmed his support of Boateng's public stance against racism during the game against Pro Patria, urging the Italian people not to give in to indifference.
Quoted on the FIGC's official website, he told Radio 24: "Sometimes we talk about lowering our voices, but everyone needs to raise their voices against racism.
"Don't give in to indifference. We must not give in to indifference and we must speak out against racism.
"I supported Milan and Boateng's choice to leave the field due to the racist chanting in Busto Arsizio. It was a strong gesture but maybe it will be difficult to repeat.
"But we must have the strength to be indignant, to say 'enough' and to turn our backs on those who chant offensive things.
"It's important to talk about it, to discuss it. We can't pretend that nothing happened. We have to say 'enough'."
Prandelli recalled the impression felt by his squad as they visited the site of a former concentration camp at Auschwitz ahead of the European Championships last summer, where more than one million people were killed during the second World War.
"It meant more to us than winning the World Cup," he added. "It should be compulsory for all schools. It was the most important part of our trip. I remember the silence, the deafening silence of all of us."