The oval hosted the first test between New Zealand and the West Indies which finished in a draw yesterday, after poor weather ruined any chance of play on the final day.
Two full days were lost to the weather and there was a significant delay on Saturday while the ground staff worked to clear excess moisture from the playing surface.
"We hadn't believed that there were going to be significant drainage issues leading into the test match," Vaughan said when approached for comment yesterday.
"If there is a way that we can improve its drainage, then obviously, we would be looking at ways we could make that happen."
Otago Cricket Association chief executive Ross Dykes told the Otago Daily Times on Sunday staff had done everything possible to get the surface ready for play.
But a combination of heavy rain and the venue being located on reclaimed land made the task difficult.
When asked if it was wise to schedule a test in Dunedin during December - the city's wettest month - Vaughan said there were only two windows of opportunity.
The West Indies are in New Zealand this month and next and India is scheduled to play two tests, the first beginning in late March.
"The University Oval has quite a limited capacity for test matches where we expect to have significant crowds.
We felt the University Oval was better suited to the West Indies games," Vaughan said.
Applying the same logic to the planned tours by Australia and Bangladesh next season, Vaughan said the oval would be considered for a test against Bangladesh.
He raised concerns about the pitch, which was described as low and slow by New Zealand skipper Daniel Vettori.
"We are aware that at some stage we need to look at the wicket block.
"We've had advice that some time in the future we need to look at putting in a new type of clay.
But obviously we would like to time that with any other kind of redevelopment."
Otago cricket plans to expand the capacity of the ground if and when the former Dunedin Art Gallery is removed.
In an ideal world the pitch would be relaid at the same time, Dykes said yesterday, although he was adamant the test pitch was "at worst satisfactory and probably good".
"All we are talking about now is, can we make it better? Research suggests that ultimately we could."
If the pitch is relaid, different variety of Kakanui clay would be used which has a higher clay content and retains more moisture.
That should provide for more pace and bounce, he said.