Norwich midfielder Hoolahan has a heel problem and Everton full-back Coleman has a hamstring complaint and both players missed training on Tuesday.
It adds to manager Martin O'Neill's problems with midfielders Glenn Whelan and James McClean suspended.
Cyrus Christie could again deputise for Coleman in the crucial Group D clash.
The Derby County player scored his first international goal in the 4-0 qualifier win over Gibraltar last month, although Coleman was back in the side which beat Georgia.
Defender Marc Wilson is a major doubt having stayed at his club Stoke City for treatment on a calf injury.
Three days after hosting the Germans, the Irish conclude their group fixtures against second-placed Poland in Warsaw.
It is a tough double-header, but victory in just one of the matches would guarantee at least a third-place finish and a play-off spot.
Two draws would not be enough for the Republic if Scotland, who trail them by four points, win their final games against the Poles and Gibraltar.
At Tuesday's training, assistant manager Roy Keane said he expected the Republic's record goalscorer Robbie Keane to be ready to face Germany if selected days after the birth of his second son.
The 35-year-old Los Angeles Galaxy striker was not due to arrive in Dublin until Tuesday evening after his wife Claudine gave birth on the other side of the Atlantic.
Asked if his former team-mate would be available for the showdown with group leaders Germany, Keane said: "Yes, why wouldn't he be?
"He didn't have the baby. Unless he's breast-feeding he should be all right."
Forward Keane was part of the team which secured a famous 1-1 draw with the world champions courtesy of John O'Shea's injury-time strike in Gelsenkirchen in October last year, and a repeat in Dublin could have a major say in whether or not they make it to the finals in France next summer.
That result came amid an uncharacteristically slow start to the campaign by Joachim Low's men, who have since put together a run of five successive qualifier victories.
Assistant boss Keane said the world champions would be a different proposition this time around, but he was confident Ireland had improved too.
He said: "I think we are a stronger team. Like you would expect with any campaign, teams improve. We were still new to the job at the time and, yes, I think we are a better team.
"Germany were a bit sluggish at the start, but with all the qualities they have it was only a matter of time before they started winning matches and topped the group.
"But we will be ready."
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