Damage was heaviest on Martinique, where seven casualties occurred and 1,500 people were left homeless as the heavy rainfall caused severe flooding on the island, resulting in some landslides.

The remnant moisture of Klaus entered the southeastern United States, dropping heavy rainfall and causing four casualties; the same area was affected with more precipitation a few days later by Tropical Storm Marco.

The organization of the convection oscillated over the subsequent days, and a few times the system showed signs of developing into a tropical depression.

As it approached the Lesser Antilles it organized further, and despite unfavorable upper-level wind shear the system developed into Tropical Depression Thirteen on October 3 while located about 115 miles (185 km)/h) east of Dominica.

Located in an area of weak steering currents, the depression drifted to the northwest, and about six hours after first developing the cyclone intensified into a tropical storm; the National Hurricane Center designated it with the name Klaus.

Later that day, convection redeveloped over the center, and Klaus re-attained tropical storm status as it accelerated toward the northeast Bahamas; it briefly reached winds of 50 mph (80 km/h).

On Barbados, flooding from the rainfall blocked a few roads and forced a few families to move to safer areas; lightning from the outskirts of the storm left a portion of the island without power.

[6] High winds and rainfall affected the island of Saint Lucia, which destroyed about 15% of the nation's banana crop for the year; damage totaled about $1 million (1990 USD).

[8] The rainfall resulted in severe flooding on Martinique, which accrued to almost 10 feet (3.0 m) in some locations; two sisters drowned near Saint-Joseph after a bridge was washed away.

[7] Offshore, rough conditions damaged a fishing vessel, leaving its two passengers drifting on the boat for 25 days before being rescued about 640 miles (1,030 km) to the north-northwest of Martinique.