The National Hurricane Center said that showers and thunderstorms have increased since Sunday in an area over the Bay of Campeche off Mexico.
The NHC said that as of Monday afternoon there was a 60 percent chance the system will develop into a tropical cyclone before it moves slowly northwestward toward the northeastern coast of Mexico within the next two days.
"Regardless of development, the disturbance will likely produce heavy rainfall over portions of southern and eastern Mexico during the next few days," the NHC said.
An Air Force Reserve reconnaissance aircraft mission for Monday afternoon has been canceled, but another aircraft has been scheduled to investigate the disturbance on Tuesday, if necessary, the NHC added.
"Heavy rainfall is also likely to spread over southeastern Texas and Louisiana through Thursday," forecasters said.
If it becomes a tropical storm, it will be the second of the season, with the name "Barry."
"Interests along the Gulf coast of Mexico should monitor the progress of this system," the NHC said.
"Regardless of whether it gets a name or not, it's going to mean the potential for more heavy rain across the coast," Dean said.
The National Weather Service Weather Prediction Center said that the tropical moisture will start to affect parts of south Texas by Tuesday.
"This moisture will spread north and eastward beyond the short-range period, with heavy to excessive rainfall a concern especially across regions with current and ongoing moderate to major flooding," the NWS said.
Heavy rains from the system could affect inland areas of Texas, even stretching into the central U.S, according to AccuWeather.
"The moisture from the tropical feature may combine with a non-tropical storm from Texas and Louisiana to parts of Kansas, Missouri, Illinois and Iowa, during the middle to latter part of this week," AccuWeather Senior Meteorologist Alex Sosnowski said.
The 2019 Atlantic hurricane season runs from June 1 to Nov. 30, and this year includes the names: Andrea, Barry, Chantal, Dorian, Erin, Fernand, Gabrielle, Humberto, Imelda, Jerry, Karen, Lorenzo, Melissa, Nestor, Olga, Pablo, Rebekah, Sebastien, Tanya, Van, and Wendy.
Forecasters from the National Oceanic and Atmospheric Administration are calling for nine to 15 named storms with winds of 39 mph or higher, of which four to eight could strengthen into hurricanes. Of those storms, there will be two to four major hurricanes, which are classified as Category 3, 4, and 5 with winds of 111 mph or higher.
An average hurricane season produces 12 named storms, of which six become hurricanes, including three major hurricanes, according to NOAA.