"We are planning for Zhirkov to be back to the group training tomorrow. He trained individually today," Igor Vladimirov told journalists.
Zhirkov was substituted in the second half of the team's 3-1 victory over Egypt on Tuesday after suffering an ankle problem, while Dzagoev sustained a hamstring injury during Russia's 5-0 drubbing of Saudi Arabia on June 14. Both players also trained individually on Thursday and Wednesday.
Meanwhile, a total of 14 percent of Russians believe that Russia can win the FIFA World Cup, a survey conducted by Russia's Public Opinion Research Center (VTsIOM).
"Every fourth Russian [25 percent] thinks that the national team will make it to the quarter-finals. A total of 14 percent [of respondents] believe Russia can with the World Cup," the pollster said in a statement on Friday.
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The poll was conducted among 1,600 respondents aged 18 or older on Wednesday and has a margin of error of 2.5 percentage points.
The 2018 FIFA World Cup kicked off on June 14 and will continue until July 15, with the matches being played in 11 cities across Russia.