The phrase "a request to increase" is correct and usable in written English.
It can be used when you are formally asking for something to be raised or elevated, such as a budget, salary, or resource allocation.
Example: "I am submitting a request to increase the budget for our marketing campaign next quarter."
Alternatives: "a proposal for an increase" or "a demand for an increase."
Yet Mr Clinton appeared to rebuff a request to increase American quotas for Bangladeshi clothing.
The financial situation was so bad that even before the first anthrax-laced letter was postmarked, postal authorities had filed a request to increase the cost of a first-class stamp again, this time by 3 cents, to 37 cents.
Andy Newman (NYT) ALBANY: MINIMUM WAGE INCREASE URGED -- The state's labor commissioner is reviewing a request to increase the state's minimum wage from $5.15 an hour to at least $7.65 an hour.
On a similar note, the president has included in the budget a request to increase drug co-payments for non-disabled veterans to $15 from $8, as well as new enrollment fees for veterans seeking medical care.
For example, opening Arctic Wildlife Refuge for more drilling is virtually a dead issue with a Democratic Congress, and legislators on both sides of the aisle will find it difficult to approve a request to increase health insurance co-pays for veterans.
The Rawlings-Blake administration outlined its legislative agenda Monday to city council members, including a request to increase money the state gives Baltimore for recreation centers and parks.
Now he has gone even further, agreeing to a Council request to increase spending in these areas by a total of $25 million.
This week on NBC's "Meet the Press," Mr. McConnell said two imminent fiscal deadlines — a presidential request to increase the debt limit this spring and the March 4 expiration of a stopgap measure funding the government — present rare openings to take on tough spending decisions.
For instance, at the 1912 Olympic Games, France withdrew its entire team over a dispute regarding the target area for foil, and the Italians refused to fence in the épée events because of a rejected request to increase the allowed length of the épée blade.
Meanwhile, in early 1952 the Australian government had agreed to an American request to increase its forces in Korea, dispatching a second infantry battalion to join 3 RAR which had been fighting since September 1950.
"For these discussions to be productive and so that we can appropriately consider the president's request to increase the statutory debt limit," the Republicans said in a letter to the vice president, "we anticipate that the president will submit a request outlining the amount requested to increase the debt limit, along with any policy proposals to reduce spending and reform the budget process".
