It was announced this week the Bundesliga would restart its season behind closed doors on May 16 amid the coronavirus pandemic.
Eintracht Frankfurt, who are 12th in the table, will be back in action at home to Borussia Monchengladbach on May 16.
But Bobic urged fans to avoid gathering outside the stadium, or their team will be punished.
"We talked a lot with our own fans at Frankfurt and said, 'Listen, guys, don't show up at the stadium. If you show up at the stadium, we will lose this game because the rules are very strict.' If they show up, the result goes to the away team," he told ESPN.
"[The fans] are smart, though. They've followed the rules in the last weeks, they've done a lot for the community, especially for the elders. So we are confident, we are in good communication with the fan groups and the signal from the fans is very positive that they won't show up at the stadium.
"That's the right thing to do. It's not allowed. We've re-opened a lot of things, but that's not allowed big groups. Don't show up at the stadium, it makes no sense."
Eintracht Frankfurt are just six points clear of Fortuna Dusseldorf, who sit in the relegation play-off spot.
They had lost three consecutive Bundesliga games before the season was suspended in March.