The Lions' run to the FA Cup semi-final has left them with a fixture backlog but they are still not safe from relegation following back-to-back defeats.
However Jackett, whose preparations have been hampered by a suspension for skipper Danny Shittu, is confident his tiring squad can stagger over the line to safety.
"We've had a busier schedule than any club in the country and we are losing games by very thin dividing lines," said Jackett.
"It's a stretch at the moment with injuries and suspension but the players are giving everything, and they have to keep giving everything in order to get us over the line. My players don't lack commitment or effort.
"On Saturday we'll come out with some freshness and enthusiasm and hopefully add to our points tally. We are not a million miles from the line and it has to be a big effort from everybody at Millwall to get over it."