The All-Russia Athletic Federation (ARAF) has accepted an indefinite suspension from competition imposed by the IAAF earlier this month.
Russia was temporarily banned over allegations of state-sponsored doping made in a report by an independent commission established by the World Anti-Doping Agency (WADA).
The IAAF last week set out the terms Russia must comply with in order to have the suspension lifted and on Thursday ARAF accepted the proposals and said it would not be launching an appeal against the punishment.
"IAAF council were today informed that written confirmation was received yesterday from ARAF accepting their full suspension without requesting a hearing," an IAAF statement read.
"ARAF confirmed they understood that council would only accept their reinstatement as an IAAF member following the recommendation of the IAAF inspection team, who will decide if the verification criteria have been fulfilled.
"ARAF confirmed they will co-operate fully and actively with the team."
A doping inspection process is expected to begin on January 1, with the first report due back to the IAAF Council on March 27.
That rules Russian athletes out of the World Indoor Championships in Portland, to be held earlier in March, and they must now hope the issues are resolved in order to be cleared to compete in the Olympic Games in Rio de Janeiro, which begin in August.
Measures laid out last week include identifying and sanctioning anyone involved in the doping scandal, with ARAF expected to establish an "effective operational anti-doping framework".
The federation will also be required to make "structural and regulatory reforms" to deter future cases of doping, while implementing its own anti-doping testing programme.
Speaking at a news conference in Monaco on Thursday, IAAF president Sebastian Coe said: "We must work hard to restore trust and to show the real values and potential of athletics.
"We have a unique opportunity now to face the future with optimism. Let us make sure that we have the right people, in the right places and the right structure to take the sport to a better place."