Moseley, who sit five points ahead of basement side Albion, play Rotherham two days before Plymouth travel to their West Country rivals the Cornish Pirates on Sunday.
If Moseley were to beat Rotherham at Billesley Common on Friday evening then they could move nine or 10 points ahead of the Brickfields club.
However, if they fail to beat the Titans, whose coach Lee Blackett announced on Thursday he will be leaving the club at the end of the season to join Premierships side Wasps, then Albion would know they could close the gap on Sunday when they travel to Menneye Field.
But Dawe hopes the Plymouth players won’t focus on what happens in Birmingham on Friday and instead just concentrate on trying to claim their first win over the Pirates for five years.
“We know it is in our own hands and we just have to concentrate on putting a good performance in on Sunday,” he said.
“We just have to crack on and not worry about anything else.
“It’s always an advantage playing second when results go your way but, like I said, we just have to crack on with our own game.”
Dawe had pretty good record over the Pirates when he was previously in charge at Albion.
But recently the advantage has firmly been with the Cornish side, although there have been some tight affairs.
Dawe, who is also coach of Cornwall, admits matches between Albion and the Pirates are not usually dull.
“There have been some classic matches over the years and some heart-breaking ones,” he said.
“Any fixture played between Plymouth and Penzance gets the juices flowing.”
Pirates still have an outside chance of reaching the promotion play-offs. They sit seventh in the table, seven points behind four-placed Nottingham.
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