"It ranks pretty highly, but we want to win the series as well," said Dravid, who led India in the absence of injured Sourav Ganguly in their first Test match in Pakistan since 1989.
The tourists won the Multan Test by an innings and 52 runs as Pakistan, following on 268 runs behind, were dismissed for 216 in their second knock in the second over on the fifth and final day on Thursday.
In previous tours of Pakistan between 1954 and 1989, India had lost five Tests and drew the remaining 15 in what is regarded as the ultimate rivaly in world cricket.
India, who rode on Virender Sehwag's 309 and an unbeaten 194 from Sachin Tendulkar to hit 675 for five declared, bowled out Pakistan twice on a barren wicket slammed by critics as being heavily tilted in favour of batsmen.
"We will celebrate as we should after such a great win, but our feet are on the ground," Dravid said.
"We know Pakistan will come back hard in the remaining two Tests and we will be ready for that. We can't afford to let up. Winning a series outside India is long overdue but I know we are on the right track."
India have not won a Test series away from home since 1993 when they beat Sri Lanka and are still seeking their first series win outside the subcontinent since 1986 when they beat England.
"Our bowling attack is young and inexperienced but they showed great heart and a will to fight on a wicket that was not easy to bowl on. It is a special moment for us. Teams are not successful for one or two things. It is a combination of talent, determination and fighting spirit."
"I am surprised to some extent that we beat Pakistan in almost four days. I must admit the manner in which the wicket behaved in the first two days we thought it would be a tough fight for us. Irfan Pathan was superb and Anil Kumble proved his worth once again."
Kumble, who took six second innings wickets, will return home for a few days to attend to his pregnant wife before flying back for the second Test starting in Lahore on Monday.
Pakistan captain Inzamam-ul-Haq said India played the better cricket and deserved to win, but stressed his team was not disheartened by the loss.
"A good session at Lahore will help us to bounce back in the series. We have done it in the past and I am confident we will do it again," he said.
"The first Test was very important but we could not perform up to expectations. We will have to do extra hard work to come back in the series.
"There are still many weaknesses we must overcome. We need to field better, bowl better and be responsible while batting.
"The bowlers let us down. The Indians proved if you bowl well you can win on this pitch.
"I expected the batsmen to do well in the second innings, but no one showed the responsibility to stay at the wicket which was disappointing."