Namibia's case against Herve Zengue will be heard at the Court of Arbitration for Sport (Cas) on Friday, the Namibia Football Association told the BBC.
Meeting prior to the Africa Cup of Nations' start on 21 January is crucial to Namibia's hopes of participation.
Namibian FA (NFA) president John Muinjo says Cas has informed them that the hearing will take place on Friday.
"Cas has informed us that the hearing will start on Friday," NFA president John Muinjo told BBC Sport.
"We have pushed for the early hearing of the case so that we can give us ample time to prepare if we are cleared to play at the Nations Cup."
The Namibians are hoping that Cas will rule against the eligibility of Cameroon-born Zengue to play for Burkina Faso.
Should this happen, the Brave Warriors could theoretically replace the Burkinabe at January's Nations Cup in Equatorial Guinea and Gabon.
The Namibian squad are already in training for the finals, despite the Confederation of African Football having twice rejected their case on technical grounds.