The proposal calls for an annual fee of $298 for every piece of taxable property within the district.
The LAUSD Board of Education in March approved plans to put the proposal on the ballot in November.
Deasy, who supports the tax, told the board on Wednesday that he did not want the measure on the same ballot as Gov. Jerry Brown's planned tax measures, which he said are critical to bolstering state funding for education.
The superintendent said pushing for the parcel tax in November would run the risk of crowding the ballot with too many measures and detract from Brown's proposals.
Brown will ask voters in November to approve a bump in the state's 7.25 percent sales tax rate to 7.5 percent, and to increase the income tax rate on people earning more than $250,000 a year.
The governor said in May that if the proposals fail, the state will have to make another $6 billion in cuts effective Jan. 1. Much of the cuts will impact education.
The Board of Education is slated to decide whether to approve Deasy's suggestion to delay the parcel tax vote next week.
The parcel tax is expected to make about $255 million a year, according to the LAUSD.
City News Service contributed to this report.