David Moyes hopes to have Nigerian duo Ayegbeni Yakubu and Joseph Yobo available for more domestic action.
Berti Vogts has named his squad for the African Cup of Nations, and the players are expected to attend a training camp in Malaga on 4th January.
Everton understand that Yakubu and Yobo will be given special leave from the get-together in order to continue playing for their club.
Both players would then join up the Super Eagles in time for the start of the tournament on 20th January.
"I do not have the information yet but I believe Nigeria are going to let players come back right up to the start of the tournament," Moyes said.
The Everton boss also praised striker Victor Anichebe, who missed out on the Nigeria squad, despite declaring his interest in playing for his native country.
"I think that Nigeria have a fantastic array of centre-forwards," he said.
"We are disappointed he has not been included, but in the same breath we are glad he will be here with us."
Moyes is currently spoilt for choice up front, and was keen to point out that he plans on rotating his forward-line throughout the season, saying: "We have been giving each of them time.
"We had Andrew Johnson and James McFadden starting last week.
"We have also used Victor Anichebe and James Vaughan from the bench.
"They will all get chances, because there is plenty of football to be played."