The Hatters host Bournemouth on Saturday.
Edwards said: "We know that as difficult as it will be, a win tomorrow would put us in a fantastic position. We've been really focusing on this game because it can give us more belief and confidence. Three points at this stage would be really important.
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"The pressure is inevitable and we have to deal with that. We have dealt with high pressure situations before so we are capable of doing it. The players know what these last seven games mean and they have accepted the pressure.
"We have to do our job. It obviously matters what happens elsewhere, but we have to do our job and try and control our destiny. What will be will be away from that."