Both clubs have started the campaign with two defeats and a draw and, although both men have received backing from their clubs, a further defeat on Saturday may see that support dwindle.
"The team who shows the least fear will win this game," said Solbakken.
His job appeared to be on the line before last weekend's 1-1 draw with Kaiserslautern prompted the club's director of sport Volker Finke to give him a cast-iron job guarantee.
"I appointed Stale for two years and not for two or three games," he said.
Oenning has been given similar assurances from Hamburg's director of sport Frank Arnesen.
"I was and I remain convinced in him and nothing will change that," he told the Hamburger Morgenpost newspaper.
"Michael needs time. I am not going to talk about the 'what happens if' scenario - that is hypothetical.
"I have always said that I have faith in Michael and that remains the case, absolutely."
Hamburg were beaten 5-0 by Bayern Munich last weekend, prompting them to sign a new defender.
Slobodan Rajkovic has arrived from Chelsea and he could be given his debut only three days after joining, with Michael Mancienne unlikely to play due to a flu virus.
Paolo Guerrero and Mladen Petric are also options again for the attack.
Solbakken will have to wait until the last minute to find out whether Germany international Lukas Podolski is fully fit again after a flu virus ruled him out last weekend.
"Lukas has missed three or four days of training and has been taking medication for the virus," he said.
"He told me after training that he is not 100% fit."