Sun presented the court with a 25-page document citing reasons why Microsoft should ship Java technology with Windows as soon as possible.
Microsoft was given 120 days from 4 February to begin including Java with Windows, which the company subsequently appealed, asking for more time.
In the appeal, Microsoft had claimed that Sun did not face any "imminent irreparable harm" if Microsoft did not include Java in Windows. Sun argued that the inclusion of Java with Windows is a time-sensitive issue and that further delays could be harmful to the company and its technology.
"The district court explicitly found that Sun is threatened with irreparable harm and that its requested relief is urgently needed now," Sun said.
The legal row between Sun and Microsoft over Java heated up last December when US district judge Frederick Motz ordered Microsoft to ship Java with Windows.
Sun argued that Microsoft has not shown solid reasons why it would take longer than 120 days to ship the Java Runtime Environment (JRE) with Windows.
Microsoft claimed it would take an enormous amount of engineering resources to include Java and that the technology would adversely affect the quality of Microsoft software.
Sun's Java technology was invented in the mid-1990s with the hopes that Java programs could run on a variety of operating systems with little alteration to the underlying code. Microsoft has since come up with .net, which competes with Java.