Both sides are struggling - Hamburg on Tuesday sacked their coach Thorsten Fink - but Eichin says crying over spilt milk is not the way to go about things.
"If you dig your head into the ground after just five games, then you have lost the plot," he said.
"Maybe not everything is working, but there is still a lot which can be done.
"I don't have any time for the almost fearful expectations. You can be angry after such a defeat (as the 3-0 against Eintracht Frankfurt last weekend), but this air of destruction, these negative thoughts are not helping anybody.
"Of course what we saw against Frankfurt was bad, but I think we were doing pretty well in the Gladbach game."
According to Eichin, anybody who expected Bremen's opening to the season - with two straight wins - to continue was misguided.
"We have a completely new coaching team, we lost two top players in Sokratis (Papastathopoulos) and (Kevin) De Bruyne, but this squad slimming was necessary so that Werder Bremen, without revenue from European football, can still function," explained Eichin on his club's official website.
"A new coach, new structures and a more professional scouting - we will benefit from all that further down the line.
"We still have six points, three against a promoted side but then three against Augsburg, who have gone on to win their last three games in a row.
"I am convinced we are going in the right direction."